The solution for the equation. Use the change of base formula to approximate axa

zi2lalZ 2021-09-13 Answered
The solution for the equation. Use the change of base formula to approximate axact answer to the nearest hundredth when approximate. 2×10x=66.
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Expert Answer

doplovif
Answered 2021-09-14 Author has 71 answers
Formula used:
Change of base formula for logarithm is given by logax=logbxlogba, for a>0 and x>0
Calculation:
2×10x=66
10x=662
10x=33
x=log10(33)
Change to an logarithmic equation
x=log(33)log(10) Using the Change of Base Formula
x=1.51851log(13)=1.5185 and log(10)=1
x1.52
Conclusion:
The solution for the given equation is x1.52.
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