What is the answer to -24\times 3^{x-1}+9^x=9 ?

The answer to -24\times 3^{x-1}+9^x=9 is x=2

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-24\times 3^{x-1}+9^x=9

- 24 \cdot 3^{x - 1} + 9^{x} = 9

x = 2

Solution steps

- 24 \cdot 3^{x - 1} + 9^{x} = 9

Apply exponent rules

- 24 \cdot 3^{x} \cdot 3^{- 1} + (3^{x})^{2} = 9

Rewrite the equation with

3^{x} = u

- 24 u \cdot 3^{- 1} + (u)^{2} = 9

Solve

- 24 u \cdot 3^{- 1} + u^{2} = 9 : u = 9, u = - 1

u = 9, u = - 1

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 9 : x = 2

Solve

3^{x} = - 1 :

No Solution for

x \in R

x = 2

7^{- x} = 49

6 = 34.416 e^{- 0.18 (t)}

(1 + x^{2}) 2^{x} - 5 \cdot 2^{x} = 0

t, 8000 = 245 t + 6125 e^{- 0.04 t}

4^{x} + 2^{x} = 12

What is the answer to -24\times 3^{x-1}+9^x=9 ?
The answer to -24\times 3^{x-1}+9^x=9 is x=2
Solve for x: -24\times 3^{x-1}+9^x=9
The solution is x=2