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Leni [432]
2 years ago
10

Solve for n: 4^n×2^-18=1​

Mathematics
2 answers:
Bad White [126]2 years ago
8 0

One way to do it is by cleverly rewriting terms and using some basic algebraic identities:

4^n\cdot 2^{-18}=1.

2^{2n-18}=2^0.

2n-18=0.

n=18/2=\boxed{9}.

Another way would be to use logarithms, namely:

4^n\cdot2^{-18}=1\implies n=\log_4\Big({\frac{1}{2^{-18}}}\Big)=\boxed{9}.

Hope this helps.

Bezzdna [24]2 years ago
7 0

Answer:

n = 9.

Step-by-step explanation:

4^n = 1 / 2^-18

4^n = 2^18

2^2n = 2^18

2n = 18

n = 9.

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