What is the answer to 8^x+2^x=130 ?

The answer to 8^x+2^x=130 is x=(ln(5))/(ln(2))

Solve for x: 8^x+2^x=130

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

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8^{x} + 2^{x} = 130

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

Decimal Notation

x = 2.32192 \dots

Solution steps

8^{x} + 2^{x} = 130

Apply exponent rules

(2^{x})^{3} + 2^{x} = 130

Rewrite the equation with

2^{x} = u

(u)^{3} + u = 130

Solve

u^{3} + u = 130 : u = 5

u = 5

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 5 : x = \frac{ln ( 5 )}{ln ( 2 )}

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

7^{x} = 70

a^{x}

y, x = e^{y}

9^{x} - 6^{x} = 4^{x}

4^{x} + 2^{1 + 2 x} = 50

What is the answer to 8^x+2^x=130 ?
The answer to 8^x+2^x=130 is x=(ln(5))/(ln(2))
Solve for x: 8^x+2^x=130
The solution is x=(ln(5))/(ln(2))