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Popular >

4^a+4^{a-2}=34

Solution

4^{a} + 4^{a - 2} = 34

Solution

a = \frac{5}{2}

+1

Decimal Notation

a = 2.5

Solution steps

4^{a} + 4^{a - 2} = 34

Factor

4^{a} + 4^{a - 2} : 17 \cdot 4^{a - 2}

17 \cdot 4^{a - 2} = 34

Divide both sides by

17

4^{a - 2} = 2

Apply exponent rules

2 (a - 2) = 1

Solve

2 (a - 2) = 1 : a = \frac{5}{2}

a = \frac{5}{2}

Popular Examples

8^{x} = 12

6^{2 x + 6} = 1

roots e^x-3x=0 roots

e^{x} - 3 x = 0

\sqrt[x]{27}=3^{x+2}

solvefor y,x=(e^y-e^{-y})/2 solve for

y, x = \frac{e ^{y} - e ^{- y}}{2}

Frequently Asked Questions (FAQ)

What is the answer to 4^a+4^{a-2}=34 ?
The answer to 4^a+4^{a-2}=34 is a= 5/2
Solve for a: 4^a+4^{a-2}=34
The solution is a= 5/2