What is the answer to 7*ln(x/5)-1=20 ?

The answer to 7*ln(x/5)-1=20 is x=e^3*5

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7*ln(x/5)-1=20

7 \cdot ln (\frac{x}{5}) - 1 = 20

x = e^{3} \cdot 5

Decimal

x = 100.42768 \dots

Solution steps

7 ln (\frac{x}{5}) - 1 = 20

Move

1

to the right side

7 ln (\frac{x}{5}) = 21

Divide both sides by

7

ln (\frac{x}{5}) = 3

Apply log rules

\frac{x}{5} = e^{3}

Multiply both sides by

5

\frac{x}{5} \cdot 5 = e^{3} \cdot 5

Simplify

x = e^{3} \cdot 5

Verify Solutions:

x = e^{3} \cdot 5

True

The solution is

x = e^{3} \cdot 5

3 lo g_{2} (x + 2) = 6

x^{4} + 5 x^{4} ln (x) = 0

t, x = ln (6 t)

lo g_{10} ((x + 1)^{2}) = 2

lo g_{x} (x^{5} + x - 1) = 5