What is the answer to ln(sqrt(x+7))=4 ?

The answer to ln(sqrt(x+7))=4 is x=e^8-7

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ln(sqrt(x+7))=4

ln (x + 7) = 4

x = e^{8} - 7

Decimal Notation

x = 2973.95798 \dots

Solution steps

ln (x + 7) = 4

Apply log rules

x + 7 = e^{4}

Solve

x + 7 = e^{4} : x = e^{8} - 7

x = e^{8} - 7

lo g_{9} (x) + lo g_{9} (x - 8) = 1

2 ln (x) = - 1

lo g_{x} (x + 30) = 2

lo g_{7} (x) = 1.69

ln (x + 15) - ln (3 - 2 x) = 4 ln (2)

What is the answer to ln(sqrt(x+7))=4 ?
The answer to ln(sqrt(x+7))=4 is x=e^8-7
Solve for x: ln(sqrt(x+7))=4
The solution is x=e^8-7