What is the answer to (4^x)^2-3=5 ?

The answer to (4^x)^2-3=5 is x= 3/4

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(4^x)^2-3=5

(4^{x})^{2} - 3 = 5

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

(4^{x})^{2} - 3 = 5

Rewrite the equation with

4^{x} = u

(u)^{2} - 3 = 5

Solve

u^{2} - 3 = 5 : u = 8, u = - 8

u = 8, u = - 8

Substitute back

u = 4^{x},

solve for

x

Solve

4^{x} = 8 : x = \frac{3}{4}

Solve

4^{x} = - 8 :

No Solution for

x \in R

x = \frac{3}{4}

6640 = 5000 (1 + 0.001)^{T}

3^{(- 2)} \cdot 3^{(2 x)} = 7

e^{x} = 2 x + 1

e^{x} = 2 x + 2

2^{3 x - 4} = 18