What is the answer to 5ln(5x-8)+5=30 ?

The answer to 5ln(5x-8)+5=30 is x=(e^5+8)/5

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5ln(5x-8)+5=30

5 ln (5 x - 8) + 5 = 30

x = \frac{e ^{5} + 8}{5}

Decimal Notation

x = 31.28263 \dots

Solution steps

5 ln (5 x - 8) + 5 = 30

Move

5

to the right side

5 ln (5 x - 8) = 25

Divide both sides by

5

ln (5 x - 8) = 5

Apply log rules

5 x - 8 = e^{5}

Solve

5 x - 8 = e^{5} : x = \frac{e ^{5} + 8}{5}

x = \frac{e ^{5} + 8}{5}

Verify Solutions:

x = \frac{e ^{5} + 8}{5}

True

The solution is

x = \frac{e ^{5} + 8}{5}

x, lo g_{x} (y) = z

4 ln (3 x - 2) - 17 = - 25

lo g_{5} (2 x - 3) = 4

\frac{3}{2} lo g_{27} (x + 5) = 1

y, ln (y) = x^{2}

What is the answer to 5ln(5x-8)+5=30 ?
The answer to 5ln(5x-8)+5=30 is x=(e^5+8)/5
Solve for x: 5ln(5x-8)+5=30
The solution is x=(e^5+8)/5