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oksano4ka [1.4K]
3 years ago
10

What is the solution to the equation e^3x=12 Round your answer to the nearest hundredth.

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0

Answer:

x=0.83

Step-by-step explanation:

Given: e^{3x}=12

We are given an exponential equation and to solve for x.

e^{3x}=12

Taking ln both sides

\ln e^{3x}=\ln 12

3x\ln e=\ln 12                        \because ln a^m=m\ln a

3x=\ln 12                            \because \ln e=1

x=\dfrac{\ln 12}{3}                   \text{divides both sides by 3}

The exact value of x is \dfrac{\ln 12}{3}    

Using calculator to find ln 12

x=\dfrac{2.4849}{3}

x=0.8283

Hence, The value of x is 0.83

vfiekz [6]3 years ago
3 0

e^{3x}=12\\\\3x=\ln 12\\\\x=\dfrac{\ln 12}{3}\approx0.83\\\\\\

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