Question

log x to the base 81=1.5 find x

Answer 1

Answer:

The value of x is 729

Step-by-step explanation:

Given $\log_{81}(x)=1.5=\frac{3}{2}$

$\Rightarrow x=(81)^{\frac{3}{2}}$, using $\log_ax=y\Rightarrow x=a^y$

       $=(9^2)^\frac{3}{2}=9^{2\times \frac{3}{2}}=9^3=729$