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algebra intermediate

Problem

If

1 0^{l o g_{10} 9} = 8 x + 5

then

x

equals:

(A)

0

(B)

\frac{1}{2}

(C)

\frac{5}{8}

(D)

\frac{9}{8}

Solution

Notice that

1 0^{l o g_{10} 9} = 9

. Therefore, the condition we are looking for is

9 = 8 x + 5

, or

x = \frac{1}{2}

.

So the answer is \frac{1}{2}

Final answer

B