What is the answer to ln(2)+ln(x-7)=8 ?

The answer to ln(2)+ln(x-7)=8 is x=(e^8)/2+7

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ln(2)+ln(x-7)=8

ln (2) + ln (x - 7) = 8

x = \frac{e ^{8}}{2} + 7

Decimal

x = 1497.47899 \dots

Solution steps

ln (2) + ln (x - 7) = 8

Move

ln (2)

to the right side

ln (x - 7) = 8 - ln (2)

Apply log rules

x - 7 = \frac{e ^{8}}{2}

Solve

x - 7 = \frac{e ^{8}}{2} : x = \frac{e ^{8}}{2} + 7

x = \frac{e ^{8}}{2} + 7

Verify Solutions:

x = \frac{e ^{8}}{2} + 7

True

The solution is

x = \frac{e ^{8}}{2} + 7

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lo g_{x + 1} (5 x - 1) = 2

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lo g_{10} ((x - 1)^{2}) = 0

lo g_{- 2 x - 4} (2 x^{2} - 14) = 2

What is the answer to ln(2)+ln(x-7)=8 ?
The answer to ln(2)+ln(x-7)=8 is x=(e^8)/2+7
Solve for x: ln(2)+ln(x-7)=8
The solution is x=(e^8)/2+7