What is the answer to 5-3ln(4x)=-10 ?

The answer to 5-3ln(4x)=-10 is x=(e^5)/4

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5-3ln(4x)=-10

5 - 3 ln (4 x) = - 10

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

Decimal Notation

x = 37.10328 \dots

Solution steps

5 - 3 ln (4 x) = - 10

Move

5

to the right side

- 3 ln (4 x) = - 15

Divide both sides by

- 3

ln (4 x) = 5

Apply log rules

4 x = e^{5}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (6 n - 4) = 2

lo g_{2} (x) = 2 + lo g_{2} (15)

ln (3 x - 10) = 5

ln (3 x - 10) = 7

lo g_{3} (5 x - 3) = 3