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3 votes
Can someone help me out please please

User Bluefalcon
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1 Answer

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To answer this question we will use the following property of logarithms:


\ln a^b=b\ln a.

Dividing the given equation by 4 we get:


(4*8^x)/(4)=(11.48)/(4).

Simplifying the above result we get:


8^x=2.87.

Applying the natural logarithm we get:


\ln8^x=\ln2.87.

Applying the property of logarithms we get:


x\ln8=\ln2.87.

Therefore:


x=(\ln2.87)/(\ln8)\approx0.51.

Answer: Option D.

User Juned
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