What is the answer to -2*ln(2w-3)=-10 ?

The answer to -2*ln(2w-3)=-10 is w=(e^5+3)/2

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-2*ln(2w-3)=-10

- 2 \cdot ln (2 w - 3) = - 10

w = \frac{e ^{5} + 3}{2}

Decimal

w = 75.70657 \dots

Solution steps

- 2 ln (2 w - 3) = - 10

Divide both sides by

- 2

ln (2 w - 3) = 5

Apply log rules

2 w - 3 = e^{5}

Solve

2 w - 3 = e^{5} : w = \frac{e ^{5} + 3}{2}

w = \frac{e ^{5} + 3}{2}

Verify Solutions:

w = \frac{e ^{5} + 3}{2}

True

The solution is

w = \frac{e ^{5} + 3}{2}

ln (x) + ln (x - 10) = 2

lo g_{5} (x^{2} - 2 x - 23) = 0

ln (8 x - 2) = 3

x - e ln (x) = 0

4 lo g_{5} (x + 1) = 4.8

What is the answer to -2*ln(2w-3)=-10 ?
The answer to -2*ln(2w-3)=-10 is w=(e^5+3)/2
Solve for w: -2*ln(2w-3)=-10
The solution is w=(e^5+3)/2