What is the answer to 3ln(4x-5)-17=-5 ?

The answer to 3ln(4x-5)-17=-5 is x=(e^4+5)/4

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3ln(4x-5)-17=-5

3 ln (4 x - 5) - 17 = - 5

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

Decimal Notation

x = 14.89953 \dots

Solution steps

3 ln (4 x - 5) - 17 = - 5

Move

17

to the right side

3 ln (4 x - 5) = 12

Divide both sides by

3

ln (4 x - 5) = 4

Apply log rules

4 x - 5 = e^{4}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

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

2 lo g_{10} (x) = lo g_{10} (1)

lo g_{10} (E) = 22.3

lo g_{10} (x + 1) = 5

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

What is the answer to 3ln(4x-5)-17=-5 ?
The answer to 3ln(4x-5)-17=-5 is x=(e^4+5)/4
Solve for x: 3ln(4x-5)-17=-5
The solution is x=(e^4+5)/4