What is the answer to 7+3ln(x)=2 ?

The answer to 7+3ln(x)=2 is x= 1/(e^{5/3)}

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7+3ln(x)=2

7 + 3 ln (x) = 2

x = \frac{1}{e ^{\frac{5}{3}}}

Decimal Notation

x = 0.18887 \dots

Solution steps

7 + 3 ln (x) = 2

Move

7

to the right side

3 ln (x) = - 5

Divide both sides by

3

ln (x) = - \frac{5}{3}

Apply log rules

x = \frac{1}{e ^{\frac{5}{3}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{5}{3}}}

True

The solution is

x = \frac{1}{e ^{\frac{5}{3}}}

x, z = y \cdot ln (x)

lo g_{2} (6 x + 3) = 4

lo g_{3} (x + 2) = 1

3 lo g_{8} (x) = 2 lo g_{x} (8) + 5

0.26 = ln (y)