What is the answer to 6^{2x}-34(6^x)-72=0 ?

The answer to 6^{2x}-34(6^x)-72=0 is x=2

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6^{2x}-34(6^x)-72=0

6^{2 x} - 34 (6^{x}) - 72 = 0

x = 2

Solution steps

6^{2 x} - 34 (6^{x}) - 72 = 0

Apply exponent rules

(6^{x})^{2} - 34 \cdot 6^{x} - 72 = 0

Rewrite the equation with

6^{x} = u

(u)^{2} - 34 u - 72 = 0

Solve

u^{2} - 34 u - 72 = 0 : u = 36, u = - 2

u = 36, u = - 2

Substitute back

u = 6^{x},

solve for

x

Solve

6^{x} = 36 : x = 2

Solve

6^{x} = - 2 :

No Solution for

x \in R

x = 2

x, y = A e^{- k x}

2 7^{2 t + 1} = (\frac{1}{9})^{t - 1}

5^{x + 2} = 4^{2 x - 1}

5^{x + 2} = 4^{2 x - 2}

e^{e} - 12 e^{- x} - 1 = 0

What is the answer to 6^{2x}-34(6^x)-72=0 ?
The answer to 6^{2x}-34(6^x)-72=0 is x=2
Solve for x: 6^{2x}-34(6^x)-72=0
The solution is x=2