Question

G(x)=1/6(8)^x-5. x=9​

Answer 1

Answer:

$g(9) = \frac{2048}{3}$

Step-by-step explanation:

Given

$g(x) = \frac{1}{6}(8)^{x-5}$

$x = 9$

Required

Solve

Substitute 9 for x in $g(x) = \frac{1}{6}(8)^{x-5}$

$g(9) = \frac{1}{6}(8)^{9-5}$

$g(9) = \frac{1}{6}(8)^{4}$

Remove bracket

$g(9) = \frac{1}{6}* 8^4$

$g(9) = \frac{1}{6}* 4096$

$g(9) = \frac{1* 4096}{6}$

$g(9) = \frac{4096}{6}$

Simplify fraction

$g(9) = \frac{2048}{3}$