What is the answer to 19^{x+8}=10 ?

The answer to 19^{x+8}=10 is x=(ln(10))/(ln(19))-8

Solve for x: 19^{x+8}=10

The solution is x=(ln(10))/(ln(19))-8

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1 9^{x + 8} = 10

x = \frac{ln ( 10 )}{ln ( 19 )} - 8

Decimal Notation

x = - 7.21798 \dots

Solution steps

1 9^{x + 8} = 10

Apply exponent rules

(x + 8) ln (19) = ln (10)

Solve

(x + 8) ln (19) = ln (10) : x = \frac{ln ( 10 )}{ln ( 19 )} - 8

x = \frac{ln ( 10 )}{ln ( 19 )} - 8

2^{2 x + 1} + 4 = 2^{x + 3} + 2^{x}

2 e^{3 x + 11} = 3

3 6^{5 x + 2} = (\frac{1}{6})^{11 - x}

(9 x)^{x} = 9^{3^{18}}

8 (2^{2 x}) - 10 (2^{x}) + 2 = 0

What is the answer to 19^{x+8}=10 ?
The answer to 19^{x+8}=10 is x=(ln(10))/(ln(19))-8
Solve for x: 19^{x+8}=10
The solution is x=(ln(10))/(ln(19))-8