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Popular >

3^{x-2}+3^x=10

Solution

3^{x - 2} + 3^{x} = 10

Solution

x = 2

Solution steps

3^{x - 2} + 3^{x} = 10

Factor

3^{x - 2} + 3^{x} : 10 \cdot 3^{x - 2}

10 \cdot 3^{x - 2} = 10

Divide both sides by

10

3^{x - 2} = 1

Apply exponent rules

(x - 2) ln (3) = ln (1)

Solve

(x - 2) ln (3) = ln (1) : x = 2

x = 2

Popular Examples

solvefor x,q=e^{100x}*v(x)solve for

x, q = e^{100 x} \cdot v (x)

1.1111 = 1.01 5^{n}

solvefor n,s=r(((1+i)^n-1))/i solve for

n, s = r \frac{( ( 1 + i ) ^{n} - 1 )}{i}

9^{x} = 4

9^{x} = 9

Frequently Asked Questions (FAQ)

What is the answer to 3^{x-2}+3^x=10 ?
The answer to 3^{x-2}+3^x=10 is x=2
Solve for x: 3^{x-2}+3^x=10
The solution is x=2