What is the answer to 14^{x+3}=20 ?

The answer to 14^{x+3}=20 is x=(ln(20))/(ln(14))-3

Solve for x: 14^{x+3}=20

The solution is x=(ln(20))/(ln(14))-3

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1 4^{x + 3} = 20

x = \frac{ln ( 20 )}{ln ( 14 )} - 3

Decimal Notation

x = - 1.86484 \dots

Solution steps

1 4^{x + 3} = 20

Apply exponent rules

(x + 3) ln (14) = ln (20)

Solve

(x + 3) ln (14) = ln (20) : x = \frac{ln ( 20 )}{ln ( 14 )} - 3

x = \frac{ln ( 20 )}{ln ( 14 )} - 3

1 0^{12} + 1 0^{y} = 1 0^{4}

4 (4^{2 x}) - 65 (4^{x}) + 16 = 0

e^{- 2 x} = 1

e^{3 x + 4} - 8 = 0

3^{x} = 24 3^{x - 2}

What is the answer to 14^{x+3}=20 ?
The answer to 14^{x+3}=20 is x=(ln(20))/(ln(14))-3
Solve for x: 14^{x+3}=20
The solution is x=(ln(20))/(ln(14))-3