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satela [25.4K]
4 years ago
14

Evaluate... k/2 + 9 = 30

Mathematics
2 answers:
Scrat [10]4 years ago
8 0
Given: K/2+9=30
Or, k/2=30-9
K/2=21
K=21*2
K=42
Simora [160]4 years ago
4 0

Answer:

K = 42

Step-by-step explanation:

K/2 = 21

2* k/2 =2*21

k=42

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salantis [7]
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

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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



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Step-by-step explanation:

hope this helped you =)

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