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Dmitry_Shevchenko [17]
3 years ago
11

Plz help me :( plzzzz

Mathematics
1 answer:
nika2105 [10]3 years ago
5 0
CANDIDATE A
18-34 53.7%
35-64 37.3%
65+ 8.9%

CANDIDATE B
18-34 17.6%
35-64 47.1%
65+ 35.3%
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3 years ago
Solve for x 4^x-2=256
salantis [7]
We can do this problem using two ways....
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<u>Method 1: "Without using logs"</u>

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

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After equaling the exponents, we get,
x - 2 = 4 \\\\ x=4+2 \\\\ \boxed{x = 6} \Leftarrow $ This is your answer!!

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>
8 0
3 years ago
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