What is the answer to 2^{(5x+2)}=14 ?

The answer to 2^{(5x+2)}=14 is x=(ln(7/2))/(5ln(2))

Solve for x: 2^{(5x+2)}=14

The solution is x=(ln(7/2))/(5ln(2))

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2^{(5 x + 2)} = 14

x = \frac{ln ( \frac{7}{2} )}{5 ln ( 2 )}

Decimal

x = 0.36147 \dots

Solution steps

2^{(5 x + 2)} = 14

Apply exponent rules

(5 x + 2) ln (2) = ln (14)

Solve

(5 x + 2) ln (2) = ln (14) : x = \frac{ln ( \frac{7}{2} )}{5 ln ( 2 )}

x = \frac{ln ( \frac{7}{2} )}{5 ln ( 2 )}

1 6^{x} - 3 \times 4^{x} + 2 = 0

2^{5 x} \cdot 2^{5 x} = 32

x, e^{a x} = C e^{b x}

e^{x + 7} = \frac{1}{e}

x, 2 = 5 e^{x} - 9 cos x

What is the answer to 2^{(5x+2)}=14 ?
The answer to 2^{(5x+2)}=14 is x=(ln(7/2))/(5ln(2))
Solve for x: 2^{(5x+2)}=14
The solution is x=(ln(7/2))/(5ln(2))