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

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

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ln(x+1)-ln(5)=4

ln (x + 1) - ln (5) = 4

x = 5 e^{4} - 1

Decimal

x = 271.99075 \dots

Solution steps

ln (x + 1) - ln (5) = 4

Move

ln (5)

to the right side

ln (x + 1) = 4 + ln (5)

Apply log rules

x + 1 = 5 e^{4}

Solve

x + 1 = 5 e^{4} : x = 5 e^{4} - 1

x = 5 e^{4} - 1

Verify Solutions:

x = 5 e^{4} - 1

True

The solution is

x = 5 e^{4} - 1

x, ln (x) - ln (2 x + 1) = 1

20 \cdot lo g_{10} (x) = - 20

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

lo g_{y} (2) - lo g_{4} (y) = 1

lo g_{4} (1 + x^{2}) = - 0.25

What is the answer to ln(x+1)-ln(5)=4 ?
The answer to ln(x+1)-ln(5)=4 is x=5e^4-1
Solve for x: ln(x+1)-ln(5)=4
The solution is x=5e^4-1