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Popular >

1536=3(2)^{n-1}

Solution

1536 = 3 (2)^{n - 1}

Solution

n = 10

Solution steps

1536 = 3 (2)^{n - 1}

Switch sides

3 \cdot 2^{n - 1} = 1536

Divide both sides by

3

2^{n - 1} = 512

Apply exponent rules

n - 1 = 9

Solve

n - 1 = 9 : n = 10

n = 10

Popular Examples

3^{- 5 x} = 81

solvefor x,27^x=243 solve for

x, 2 7^{x} = 243

7^{x + 1} = 0

5^x-5^{x-2}=120

5^{x} - 5^{x - 2} = 120

solvefor x,e^x=8 solve for

x, e^{x} = 8

Frequently Asked Questions (FAQ)

What is the answer to 1536=3(2)^{n-1} ?
The answer to 1536=3(2)^{n-1} is n=10
Solve for n: 1536=3(2)^{n-1}
The solution is n=10