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- Thread starter JoeC
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- Jan 26, 2012

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What have you tried? Where are you stuck?I am looking for help solving for x for the question below. Any help would be greatly appreciated.

2^x=16(8^2x)

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- Mar 5, 2012

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I am looking for help solving for x for the question below. Any help would be greatly appreciated.

2^x=16(8^2x)

Welcome to MHB, JoeC!I don't really know where to start with this.

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the answer to the question is -4/5 but I haven't been able to get it using log or ln.

You have

$$2^x=16(8^{2x})$$

(Or at least that is what I assume you have.)

Since we have $2^x$, let's try to make the other power also a power of $2$.

We have that $8=2^3$.

Do you know what $(2^3)^{2x}$ is?