SAT Math Practice Question #28696 - SATify | SATify

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SAT Math Practice Question #28696 - SATify | SATify

#28696

algebra

exponents

logarithms

Change of Base

medium

90 sec

The solution of the equation $2^{x + 3} = 7^{x}$ can be expressed in the form $x = lo g_{b} 2^{3}$ . What is $b$ ?

A.

$\frac{2}{7}$

B.

$\frac{7}{2}$

C.

$\frac{5}{2}$

D.

$\frac{2}{5}$

E.

$\frac{5}{7}$