Question

H() = https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%5Ex" id="TexFormula2" title="(\frac{1}{2})^x" alt="(\frac{1}{2})^x" align="absmiddle" class="latex-formula">
Find the value of $x$ when h($x$) = 8.

Answer 1

Answer:

x = - 3

Step-by-step explanation:

Solving

$(\frac{1}{2}) ^{x}$ = 8

$(2^-1)^{x}$ = 2³

$2^{-x}$ = 2³

Since the bases on both sides are equal equate the exponents

- x = 3 ( multiply both sides by - 1 )

x = - 3