Explain how to solve 5x − 2 = 8 using the change of base formula log base b of y equals log y over log b. include the solution f or x in your answer. round your answer to the nearest thousandth.
1 answer:
<u>The correct answer is</u><u> x = 3.29203 </u>
<h3>Logarithms change of base rule -</h3>
The change of base formula is the formula that will give you the answer of a log with a different base by using only log calculations with a base of 10. The formula tells you to take the log of the number in parentheses and then divide it by the log of your base.
log 5x - 2) = log(8)
(x - 2)log(5) = log(8)
Log(5)=0.69897
log(8) = 0.80309
x - 2 = log(8) / log(5)
x - 2 = 1.29203
x = 2 + 1.29203
x = 3.29203
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