What is the answer to 2(10^{3x})-3=15 ?

The answer to 2(10^{3x})-3=15 is x=(2ln(3))/(3ln(10))

Solve for x: 2(10^{3x})-3=15

The solution is x=(2ln(3))/(3ln(10))

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2 (1 0^{3 x}) - 3 = 15

x = \frac{2 ln ( 3 )}{3 ln ( 10 )}

Decimal Notation

x = 0.31808 \dots

Solution steps

2 (1 0^{3 x}) - 3 = 15

Move

3

to the right side

2 \cdot 1 0^{3 x} = 18

Divide both sides by

2

1 0^{3 x} = 9

Apply exponent rules

3 x ln (10) = ln (9)

Solve

3 x ln (10) = ln (9) : x = \frac{2 ln ( 3 )}{3 ln ( 10 )}

x = \frac{2 ln ( 3 )}{3 ln ( 10 )}

7 \cdot 2^{x} = 1

1 0^{x - 2} = 1

8^{x + 2} = 16

e^{x} x + e^{x} = 0

5^{3 x} = 62 5^{2 x}

What is the answer to 2(10^{3x})-3=15 ?
The answer to 2(10^{3x})-3=15 is x=(2ln(3))/(3ln(10))
Solve for x: 2(10^{3x})-3=15
The solution is x=(2ln(3))/(3ln(10))