Question
Solve the equation
x=4log10(2)1
Alternative Form
x≈0.830482
Evaluate
4log10(4)×(x×8)=42
Remove the parentheses
4log10(4)×x×8=42
Multiply the terms
32log10(4)×x=42
Divide both sides
32log10(4)32log10(4)×x=32log10(4)42
Divide the numbers
x=32log10(4)42
Divide the numbers
More Steps

Evaluate
32log10(4)42
Rewrite the expression
More Steps

Rewrite the expression
42
Rewrite the expression
(22)2
Rewrite the expression
22×2
Calculate
24
32log10(4)24
Rewrite the expression
25log10(4)24
Reduce the fraction
More Steps

Evaluate
2524
Use the product rule aman=an−m to simplify the expression
25−41
Subtract the terms
211
Simplify
21
2log10(4)1
x=2log10(4)1
Solution
More Steps

Evaluate
2log10(4)
Simplify
More Steps

Evaluate
log10(4)
Write the number in exponential form with the base of 2
log10(22)
Use logabn=nlogab to simplify the expression
2log10(2)
2×2log10(2)
Multiply the numbers
4log10(2)
x=4log10(2)1
Alternative Form
x≈0.830482
Show Solution
