Question

Pleaseeee help i don't understand how to do this

Answer 1

Answer:

$x=\frac{5}{k}$

Step-by-step explanation:

Given expression is,

$\text{log}_{3^k}243=x$

By using the law of logarithm,

$(3^k)^x=243$

$3^{kx}=243$

$3^{kx}=3^5$

By comparing exponents on both the sides of the equation,

$kx=5$

$x=\frac{5}{k}$

Therefore, $x=\frac{5}{k}$ will be the answer.