For , let and . If , determine the value of…

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

For

a>0,\;a\neq1

, let

f(x)=a^{x}

and

g(x)=\log_{a}x

. If

f\bigl(g(25)-2\bigr)=5

, determine the value of

a

. (a)

5

(b)

\dfrac{1}{\sqrt{5}}

(c)

\sqrt{5}

(d)

25

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