What is the answer to 6ln(7x-5)+18=54 ?

The answer to 6ln(7x-5)+18=54 is x=(e^6+5)/7

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6ln(7x-5)+18=54

6 ln (7 x - 5) + 18 = 54

x = \frac{e ^{6} + 5}{7}

Decimal Notation

x = 58.34697 \dots

Solution steps

6 ln (7 x - 5) + 18 = 54

Move

18

to the right side

6 ln (7 x - 5) = 36

Divide both sides by

6

ln (7 x - 5) = 6

Apply log rules

7 x - 5 = e^{6}

Solve

7 x - 5 = e^{6} : x = \frac{e ^{6} + 5}{7}

x = \frac{e ^{6} + 5}{7}

Verify Solutions:

x = \frac{e ^{6} + 5}{7}

True

The solution is

x = \frac{e ^{6} + 5}{7}

4 lo g_{10} (1 - 5 x) = 2

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

ln (x - 2) = ln (3) - ln (x)

lo g_{10} (x) = 1307

x, ln (x + y) - ln (x - y) = 4

What is the answer to 6ln(7x-5)+18=54 ?
The answer to 6ln(7x-5)+18=54 is x=(e^6+5)/7
Solve for x: 6ln(7x-5)+18=54
The solution is x=(e^6+5)/7