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natta225 [31]
2 years ago
13

X/3-4=7 whats the answer i cant figure this out?

Mathematics
2 answers:
ArbitrLikvidat [17]2 years ago
6 0
I believe x is 33 I hope this helps
AVprozaik [17]2 years ago
4 0

I think x is 33

that's your answer

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Step-by-step explanation:

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We can do this problem using two ways....
Let me show you both methods.

<u>Method 1: "Without using logs"</u>

4^{x-2}=256\\\\  4^{x-2}=4^4\ \ \ \ \ |\because 4^4 \ $is the same as 256

Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents. 

After equaling the exponents, we get,
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Now,
<u>Method 2: "Using Logs"</u>

4^{x-2}=256 \\\\ ~~~~~~~\Downarrow   ~~~~~~ is\ the\ same\ thing\ as\ saying \\\\$log\ _4\ 256 =x-2 \\\\ Now,\ using\ the\ log\ property\ log_AB= \frac{log_cA}{log_cB}, \ we \ get, \\\\  \frac{log_{10}256}{log_{10}4}=x-2 \\\\ 4=x-2 \\\\ 4+2=x\\\\ 6=x \\\\ \boxed{x=6} \Leftarrow $This is your answer



<u>So, either way we get x= 6</u>
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