What is the answer to solvefor x,ln(5x-1)-ln(4)=3 ?

The answer to solvefor x,ln(5x-1)-ln(4)=3 is x=(4e^3+1)/5

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solvefor x,ln(5x-1)-ln(4)=3

solve for

x, ln (5 x - 1) - ln (4) = 3

x = \frac{4 e ^{3} + 1}{5}

Decimal Notation

x = 16.26842 \dots

Solution steps

ln (5 x - 1) - ln (4) = 3

Move

ln (4)

to the right side

ln (5 x - 1) = 3 + ln (4)

Apply log rules

5 x - 1 = 4 e^{3}

Solve

5 x - 1 = 4 e^{3} : x = \frac{4 e ^{3} + 1}{5}

x = \frac{4 e ^{3} + 1}{5}

Verify Solutions:

x = \frac{4 e ^{3} + 1}{5}

True

The solution is

x = \frac{4 e ^{3} + 1}{5}

lo g_{x} (50625) = 4

22 = ln (x) + x

5 lo g_{10} (x) = 3 \cdot 3

lo g_{x} (3) + 16 lo g_{81} (x) = 5

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

What is the answer to solvefor x,ln(5x-1)-ln(4)=3 ?
The answer to solvefor x,ln(5x-1)-ln(4)=3 is x=(4e^3+1)/5