What is the answer to ln((7x-9)^5)=30 ?

The answer to ln((7x-9)^5)=30 is x=(e^6+9)/7

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ln((7x-9)^5)=30

ln ((7 x - 9)^{5}) = 30

x = \frac{e ^{6} + 9}{7}

Decimal Notation

x = 58.91839 \dots

Solution steps

ln ((7 x - 9)^{5}) = 30

Apply log rules

7 x - 9 = e^{6}

Solve

7 x - 9 = e^{6} : x = \frac{e ^{6} + 9}{7}

x = \frac{e ^{6} + 9}{7}

Verify Solutions:

x = \frac{e ^{6} + 9}{7}

True

The solution is

x = \frac{e ^{6} + 9}{7}

x, ln (x) = u ln (u) - u

25 = c + e^{l n (\frac{5}{c})}

\frac{1}{2} ln (x) - ln (2) = 0

3 lo g_{6} (x) = lo g_{6} (8)

3 = lo g_{2} (6 x)

What is the answer to ln((7x-9)^5)=30 ?
The answer to ln((7x-9)^5)=30 is x=(e^6+9)/7
Solve for x: ln((7x-9)^5)=30
The solution is x=(e^6+9)/7