Solve \dfrac{7^{7}}{7^3}=7^x

Evaluate

d \times \frac{7 ^{7}}{7 ^{3}} = 7^{x}

Simplify

More Steps

7^{4} d = 7^{x}

Swap the sides of the equation

7^{x} = 7^{4} d

Take the logarithm of both sides

lo g_{7} (7^{x}) = lo g_{7} (7^{4} d)

Evaluate the logarithm

x = lo g_{7} (7^{4} d)

Simplify

x = lo g_{7} (2401 d)

Solution

More Steps

x = 4 + lo g_{7} (d)

Solve the equation