What is the answer to ln(sqrt(x-8))=5 ?

The answer to ln(sqrt(x-8))=5 is x=e^{10}+8

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ln(sqrt(x-8))=5

ln (x - 8) = 5

x = e^{10} + 8

Solution steps

ln (x - 8) = 5

Apply log rules

x - 8 = e^{5}

Solve

x - 8 = e^{5} : x = e^{10} + 8

x = e^{10} + 8

lo g_{5} (x^{2} + 10 x + 1) = 2

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

lo g_{3} (x^{2} - 6 x + 6) = 0

2 ln (x) = lo g_{e^{3}} (216)

lo g_{3} (x) = lo g_{9} (21)

What is the answer to ln(sqrt(x-8))=5 ?
The answer to ln(sqrt(x-8))=5 is x=e^{10}+8
Solve for x: ln(sqrt(x-8))=5
The solution is x=e^{10}+8