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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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