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Popular >

9^x=3^x+6

Solution

9^{x} = 3^{x} + 6

Solution

x = 1

Solution steps

9^{x} = 3^{x} + 6

Apply exponent rules

(3^{x})^{2} = 3^{x} + 6

Rewrite the equation with

3^{x} = u

(u)^{2} = u + 6

Solve

u^{2} = u + 6 : u = 3, u = - 2

u = 3, u = - 2

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 3 : x = 1

Solve

3^{x} = - 2 :

No Solution for

x \in R

x = 1

Popular Examples

3^{x^{2} - 5} = 81

100^{3x-3}=10^{4x-9}

10 0^{3 x - 3} = 1 0^{4 x - 9}

solvefor y,2^y=x solve for

y, 2^{y} = x

2^{5 x} = 7

4^{x} = 0.25

Frequently Asked Questions (FAQ)

What is the answer to 9^x=3^x+6 ?
The answer to 9^x=3^x+6 is x=1
Solve for x: 9^x=3^x+6
The solution is x=1