What is the answer to solvefor x,ln(2x)-7ln(2x)=8 ?

The answer to solvefor x,ln(2x)-7ln(2x)=8 is x= 1/(2e^{4/3)}

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solvefor x,ln(2x)-7ln(2x)=8

solve for

x, ln (2 x) - 7 ln (2 x) = 8

x = \frac{1}{2 e ^{\frac{4}{3}}}

Decimal Notation

x = 0.13179 \dots

Solution steps

ln (2 x) - 7 ln (2 x) = 8

Add similar elements:

ln (2 x) - 7 ln (2 x) = - 6 ln (2 x)

- 6 ln (2 x) = 8

Divide both sides by

- 6

ln (2 x) = - \frac{4}{3}

Apply log rules

2 x = \frac{1}{e ^{\frac{4}{3}}}

Solve

2 x = \frac{1}{e ^{\frac{4}{3}}} : x = \frac{1}{2 e ^{\frac{4}{3}}}

x = \frac{1}{2 e ^{\frac{4}{3}}}

Verify Solutions:

x = \frac{1}{2 e ^{\frac{4}{3}}}

True

The solution is

x = \frac{1}{2 e ^{\frac{4}{3}}}

lo g_{4} (9) = lo g_{2} (x)

x, ln (y) = ln (ln (x))

e^{l n (c)} = c

ln (x) = - 22.5

0.6 = - lo g_{10} (h)

What is the answer to solvefor x,ln(2x)-7ln(2x)=8 ?
The answer to solvefor x,ln(2x)-7ln(2x)=8 is x= 1/(2e^{4/3)}