What is the answer to 0=34.2-5.7ln(x) ?

The answer to 0=34.2-5.7ln(x) is x=e^6

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0=34.2-5.7ln(x)

0 = 34.2 - 5.7 ln (x)

x = e^{6}

Decimal Notation

x = 403.42879 \dots

Solution steps

0 = 34.2 - 5.7 ln (x)

Switch sides

34.2 - 5.7 ln (x) = 0

Multiply both sides by

10

342 - 57 ln (x) = 0

Move

342

to the right side

- 57 ln (x) = - 342

Divide both sides by

- 57

ln (x) = 6

Apply log rules

x = e^{6}

Verify Solutions:

x = e^{6}

True

The solution is

x = e^{6}

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lo g_{2} (2 x^{3}) - 3 = 0.5