What is the answer to ln(x+2)+ln(3)=5 ?

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

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ln(x+2)+ln(3)=5

ln (x + 2) + ln (3) = 5

x = \frac{e ^{5}}{3} - 2

Decimal

x = 47.47105 \dots

Solution steps

ln (x + 2) + ln (3) = 5

Move

ln (3)

to the right side

ln (x + 2) = 5 - ln (3)

Apply log rules

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

Solve

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

x = \frac{e ^{5}}{3} - 2

Verify Solutions:

x = \frac{e ^{5}}{3} - 2

True

The solution is

x = \frac{e ^{5}}{3} - 2

x = ln (y^{2}) - 0.7, y

ln (x^{3} - 4) = 6

lo g_{10} (x + 9) = 2

lo g_{10} (x) = lo g_{10} (x)

lo g_{0.1} (x^{2} + 3 x) = - 1

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