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Popular >

4^x+2^x=72

Solution

4^{x} + 2^{x} = 72

Solution

x = 3

Solution steps

4^{x} + 2^{x} = 72

Apply exponent rules

(2^{x})^{2} + 2^{x} = 72

Rewrite the equation with

2^{x} = u

(u)^{2} + u = 72

Solve

u^{2} + u = 72 : u = 8, u = - 9

u = 8, u = - 9

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 8 : x = 3

Solve

2^{x} = - 9 :

No Solution for

x \in R

x = 3

Popular Examples

solvefor j,y= 1/((2^j))solve for

j, y = \frac{1}{( 2 ^{j} )}

2*3^x+1=10.3^{12}*8.3^{12}

2 \cdot 3^{x} + 1 = 10. 3^{12} \cdot 8. 3^{12}

9 = 3^{m}

(2^x+1)/((2^x))= 41/4

\frac{2 ^{x} + 1}{( 2 ^{x} )} = \frac{41}{4}

2^{x+1}+2^{x+2}=48

2^{x + 1} + 2^{x + 2} = 48

Frequently Asked Questions (FAQ)

What is the answer to 4^x+2^x=72 ?
The answer to 4^x+2^x=72 is x=3
Solve for x: 4^x+2^x=72
The solution is x=3