Question

Solve for x.

8^(9x)=3^(x-9)
Write the exact answer using base-10 logarithms.

Answer 1

Take Log both the sides,

\[\huge 9xLog_{10}8 = (x-9)Log_{10}3\]

Answer 2

\[\implies 9xLog_{10}2^3 = (x-9)Log_{10}3\]

\[\implies (9x \times 3) Log_{10}2 = (x-9)Log_{10}3\]