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Popular >

3+4ln(2x)=15

Solution

3 + 4 ln (2 x) = 15

Solution

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

+1

Decimal Notation

x = 10.04276 \dots

Solution steps

3 + 4 ln (2 x) = 15

Move

3

to the right side

4 ln (2 x) = 12

Divide both sides by

4

ln (2 x) = 3

Apply log rules

2 x = e^{3}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

Popular Examples

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ln (x + 4) + ln (3) = 8

log_{x}(2x^2-9x+18)=2

lo g_{x} (2 x^{2} - 9 x + 18) = 2

2log_{10}(4x)-log_{10}(49)=2

2 lo g_{10} (4 x) - lo g_{10} (49) = 2

log_{5}(2x-5)=2

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

Frequently Asked Questions (FAQ)

What is the answer to 3+4ln(2x)=15 ?
The answer to 3+4ln(2x)=15 is x=(e^3)/2
Solve for x: 3+4ln(2x)=15
The solution is x=(e^3)/2