Solve log23 (x - 4) - log23 (x - 6) 60

Question

Simplify the expression

- 59 lo g_{10} (23) \times x + 356 lo g_{10} (23)

Evaluate

lo g_{10} (23) \times (x - 4) - lo g_{10} (23) \times (x - 6) \times 60

Use the commutative property to reorder the terms

lo g_{10} (23) \times (x - 4) - 60 lo g_{10} (23) \times (x - 6)

Expand the expression

More Steps

Calculate

lo g_{10} (23) \times (x - 4)

Apply the distributive property

lo g_{10} (23) \times x - lo g_{10} (23) \times 4

Use the commutative property to reorder the terms

lo g_{10} (23) \times x - 4 lo g_{10} (23)

lo g_{10} (23) \times x - 4 lo g_{10} (23) - 60 lo g_{10} (23) \times (x - 6)

Expand the expression

More Steps

Calculate

- 60 lo g_{10} (23) \times (x - 6)

Apply the distributive property

- 60 lo g_{10} (23) \times x - (- 60 lo g_{10} (23) \times 6)

Multiply the terms

- 60 lo g_{10} (23) \times x - (- 360 lo g_{10} (23))

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 60 lo g_{10} (23) \times x + 360 lo g_{10} (23)

lo g_{10} (23) \times x - 4 lo g_{10} (23) - 60 lo g_{10} (23) \times x + 360 lo g_{10} (23)

Add the numbers

More Steps

Evaluate

- 4 lo g_{10} (23) + 360 lo g_{10} (23)

Collect like terms by calculating the sum or difference of their coefficients

(- 4 + 360) \times lo g_{10} (23)

Add the numbers

356 lo g_{10} (23)

lo g_{10} (23) \times x + 356 lo g_{10} (23) - 60 lo g_{10} (23) \times x

Solution

More Steps

Evaluate

lo g_{10} (23) \times x - 60 lo g_{10} (23) \times x

Collect like terms by calculating the sum or difference of their coefficients

(lo g_{10} (23) - 60 lo g_{10} (23)) x

Subtract the numbers

More Steps

Evaluate

lo g_{10} (23) - 60 lo g_{10} (23)

Collect like terms by calculating the sum or difference of their coefficients

(1 - 60) \times lo g_{10} (23)

Subtract the numbers

- 59 lo g_{10} (23)

- 59 lo g_{10} (23) \times x

- 59 lo g_{10} (23) \times x + 356 lo g_{10} (23)

Show Solution

Factor the expression

lo g_{10} (23) \times (- 59 x + 356)

Evaluate

lo g_{10} (23) \times (x - 4) - lo g_{10} (23) \times (x - 6) \times 60

Use the commutative property to reorder the terms

lo g_{10} (23) \times (x - 4) - 60 lo g_{10} (23) \times (x - 6)

Simplify

More Steps

Evaluate

lo g_{10} (23) \times (x - 4)

Apply the distributive property

lo g_{10} (23) \times x + lo g_{10} (23) \times (- 4)

Use the commutative property to reorder the terms

lo g_{10} (23) \times x - 4 lo g_{10} (23)

lo g_{10} (23) \times x - 4 lo g_{10} (23) - 60 lo g_{10} (23) \times (x - 6)

Simplify

More Steps

Evaluate

- 60 lo g_{10} (23) \times (x - 6)

Apply the distributive property

- 60 lo g_{10} (23) \times x - 60 lo g_{10} (23) \times (- 6)

Multiply the terms

More Steps

Evaluate

- 60 lo g_{10} (23) \times (- 6)

Rewrite the expression

60 lo g_{10} (23) \times 6

Multiply the terms

360 lo g_{10} (23)

- 60 lo g_{10} (23) \times x + 360 lo g_{10} (23)

lo g_{10} (23) \times x - 4 lo g_{10} (23) - 60 lo g_{10} (23) \times x + 360 lo g_{10} (23)

Add the numbers

More Steps

Evaluate

- 4 lo g_{10} (23) + 360 lo g_{10} (23)

Collect like terms by calculating the sum or difference of their coefficients

(- 4 + 360) \times lo g_{10} (23)

Add the numbers

356 lo g_{10} (23)

lo g_{10} (23) \times x + 356 lo g_{10} (23) - 60 lo g_{10} (23) \times x

Subtract the terms

More Steps

Evaluate

lo g_{10} (23) \times x - 60 lo g_{10} (23) \times x

Collect like terms by calculating the sum or difference of their coefficients

(lo g_{10} (23) - 60 lo g_{10} (23)) x

Subtract the numbers

More Steps

Evaluate

lo g_{10} (23) - 60 lo g_{10} (23)

Collect like terms by calculating the sum or difference of their coefficients

(1 - 60) \times lo g_{10} (23)

Subtract the numbers

- 59 lo g_{10} (23)

- 59 lo g_{10} (23) \times x

- 59 lo g_{10} (23) \times x + 356 lo g_{10} (23)

Solution

lo g_{10} (23) \times (- 59 x + 356)

Show Solution