What is the solution of the equation 5x – 1 = 45? Round your answer to the nearest ten-thousandth

1 answer:

4 0

The correct question is
<span>What is the solution of the equation (5^x)-1=45? Round your answer to the nearest ten- thousandth

we have that
</span>(5^x)-1=45--------> (5^x)=45+1----------> (5^x)=46
<span>we apply logarithm both members
</span>ln(5^x)=ln(46)---------> x*ln(5)=ln(46)-----------> x=ln(46)/ln(5)-----------> 2.37886

the answer is x=2.3789

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