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Express the given equations in logarithmic form.$$2^{-6}= rac{1}{64}$$...

Question

Express the given equations in logarithmic form.$$2^{-6}= rac{1}{64}$$

Express the given equations in logarithmic form. $$2^{-6}=\frac{1}{64}$$



Answers

Write each exponential equation in logarithmic form.
$$6^{3}=216$$

In this problem. We're being asked to change four to the negative. Two equals one over 16 to, uh, a log arrhythmic form. So this would be the same as log base. Four of one over 16 equals negative, too, if we follow the definition of a log from above.

Okay, so we're gonna write this log as an exponential. And to do that, we're just going to use the last of so we'll do. 36 to the 1/2 equals six. So we've taken our base, and we raised it to our exponents, and then our number will be our answer.

So you want to convert this? It's financial love with Nick. So, you know, if we have an exponential of the farm price equal to P E to the X, you can cover it is to love with me through this formula. Welcome, Bass. Beat off. Why? To see proto ets. We know that we have why? Which is 64 B, which is eight. And, uh, X powers to them. But this into this formula Log off eight. 64. It's equal to two. That's all. Yeah.

Of this. So we want to convert this long into its financial the general form for love. This love e why is equal to X? You want to take the science but an intro, Which is why it's equal to get to the ex. You see that our base sequel to six all right is equal to six and our ex physical to one. In this new information to the exponential, we have 6464 base and one for X. That's a


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