What is the answer to ln(sqrt(x+9))=4 ?

The answer to ln(sqrt(x+9))=4 is x=e^8-9

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ln(sqrt(x+9))=4

ln (x + 9) = 4

x = e^{8} - 9

Decimal Notation

x = 2971.95798 \dots

Solution steps

ln (x + 9) = 4

Apply log rules

x + 9 = e^{4}

Solve

x + 9 = e^{4} : x = e^{8} - 9

x = e^{8} - 9

lo g_{4} (x) + lo g_{2} (4 x) = 5

lo g_{125} (a) = \frac{1}{3}

lo g_{6} (x + 15) + lo g_{6} (x + 6) = 2

0 = x - ln (x) - 1

5 ln^{2} (x) = 25 ln (x^{2})

What is the answer to ln(sqrt(x+9))=4 ?
The answer to ln(sqrt(x+9))=4 is x=e^8-9
Solve for x: ln(sqrt(x+9))=4
The solution is x=e^8-9