Solve for the following exponential equations. Use the natural logarithm in your

sagnuhh

sagnuhh

Answered question

2021-09-30

Solve for the following exponential equations. Use the natural logarithm in your answer(where applicable) for full credit. Use rules for exponents, factor and simplify.
1063x=18

Answer & Explanation

au4gsf

au4gsf

Skilled2021-10-01Added 95 answers

Given that:
The equation 1063x18.
By using,
Natural Logarithm rule:
Exponent rule,
ln(xy)=yln(x)
To solve the given equation.
By using the above formula,
Taking natural log on both side,
ln(1063x)=ln(18)
(63x)ln(10)=ln(18)
Divide on both side by ln(10)
To get,
63x=ln(18)ln(10)
3x=ln(18)ln(10)6
x=13ln(18)ln(10)+3
x=13(1.2553)+3
=1.25533+3
=0.4184+3
=2.5816
To get,
x=2.5816
Therefore, x=2.5816

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