What is the answer to 4+6^{2x+3}=14 ?

The answer to 4+6^{2x+3}=14 is x=(ln(5/108))/(2ln(6))

Solve for x: 4+6^{2x+3}=14

The solution is x=(ln(5/108))/(2ln(6))

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4 + 6^{2 x + 3} = 14

x = \frac{ln ( \frac{5}{108} )}{2 ln ( 6 )}

Solution steps

4 + 6^{2 x + 3} = 14

Move

4

to the right side

6^{2 x + 3} = 10

Apply exponent rules

(2 x + 3) ln (6) = ln (10)

Solve

(2 x + 3) ln (6) = ln (10) : x = \frac{ln ( \frac{5}{108} )}{2 ln ( 6 )}

x = \frac{ln ( \frac{5}{108} )}{2 ln ( 6 )}

10. 2^{x^{2} - 4} = 320

x, e^{2 x} - 5 e^{x} + 4 = 0

2^{x} = 500

ln (e^{3 x}) = 1

2^{x} = 20000

What is the answer to 4+6^{2x+3}=14 ?
The answer to 4+6^{2x+3}=14 is x=(ln(5/108))/(2ln(6))
Solve for x: 4+6^{2x+3}=14
The solution is x=(ln(5/108))/(2ln(6))