SAT Math Practice Question #28695 - SATify | SATify

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SAT Math Practice Question #28695 - SATify | SATify

#28695

algebra

exponents

logarithms

Change of Base

medium

90 sec

The solution of the equation $3^{x + 4} = 5^{x}$ can be expressed in the form $x = lo g_{b} 3^{4}$ . What is $b$ ?

A.

$\frac{3}{5}$

B.

$\frac{5}{3}$

C.

$\frac{7}{3}$

D.

$\frac{3}{7}$

E.

$\frac{7}{5}$