Answered

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Can someone help me out please please

Sagot :

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

[tex]\ln a^b=b\ln a.[/tex]

Dividing the given equation by 4 we get:

[tex]\frac{4*8^x}{4}=\frac{11.48}{4}.[/tex]

Simplifying the above result we get:

[tex]8^x=2.87.[/tex]

Applying the natural logarithm we get:

[tex]\ln8^x=\ln2.87.[/tex]

Applying the property of logarithms we get:

[tex]x\ln8=\ln2.87.[/tex]

Therefore:

[tex]x=\frac{\ln2.87}{\ln8}\approx0.51.[/tex]

Answer: Option D.

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