What is the answer to 3-5ln(x)=7 ?

The answer to 3-5ln(x)=7 is x= 1/(e^{4/5)}

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3-5ln(x)=7

3 - 5 ln (x) = 7

x = \frac{1}{e ^{\frac{4}{5}}}

Decimal Notation

x = 0.44932 \dots

Solution steps

3 - 5 ln (x) = 7

Move

3

to the right side

- 5 ln (x) = 4

Divide both sides by

- 5

ln (x) = - \frac{4}{5}

Apply log rules

x = \frac{1}{e ^{\frac{4}{5}}}

Verify Solutions:

x = \frac{1}{e ^{\frac{4}{5}}}

True

The solution is

x = \frac{1}{e ^{\frac{4}{5}}}

- 9.7 = - 1.42 ln (x)

lo g_{2} (x - 5) + lo g_{2} (x + 10) = 4

lo g_{5} (2 x - 1) = 1

ln (3 x + 2) - ln (x - 4) = 1

20 = 20 lo g_{10} (\frac{x}{7.07})