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Popular >

4=ln(5x+e)-1

Solution

4 = ln (5 x + e) - 1

Solution

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

+1

Solution steps

4 = ln (5 x + e) - 1

Switch sides

ln (5 x + e) - 1 = 4

Move

1

to the right side

ln (5 x + e) = 5

Apply log rules

5 x + e = e^{5}

Solve

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

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

Verify Solutions:

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

True

The solution is

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

Popular Examples

log_{10}(3x+2)=log_{10}(x-1)

lo g_{10} (3 x + 2) = lo g_{10} (x - 1)

log_{3}(8x)-4log_{3}(2)=0

lo g_{3} (8 x) - 4 lo g_{3} (2) = 0

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

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

log_{10}(2-x)=3

lo g_{10} (2 - x) = 3

- ln (x - 1) = 2

Frequently Asked Questions (FAQ)

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