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Popular >

1000^{3x-2}=1

Solution

100 0^{3 x - 2} = 1

Solution

x = \frac{2}{3}

+1

Decimal Notation

x = 0.66666 \dots

Solution steps

100 0^{3 x - 2} = 1

Apply exponent rules

(3 x - 2) ln (1000) = ln (1)

Solve

(3 x - 2) ln (1000) = ln (1) : x = \frac{2}{3}

x = \frac{2}{3}

Popular Examples

5^{x+2}=7^{x-2}

5^{x + 2} = 7^{x - 2}

e^{-0.05x}=0.01

e^{- 0.05 x} = 0.01

9^{x} = \frac{1}{81}

5^{3x+7}=25^{x-4}

5^{3 x + 7} = 2 5^{x - 4}

9^{x} - 10 \cdot 3^{x} + 9 = 0

Frequently Asked Questions (FAQ)

What is the answer to 1000^{3x-2}=1 ?
The answer to 1000^{3x-2}=1 is x= 2/3
Solve for x: 1000^{3x-2}=1
The solution is x= 2/3