Half a number gives fifty in equation form

Hi there!  

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I believe your answer is:  

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!