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natka813 [3]
3 years ago
7

Find the value of x when : 2^30/8^9=2^x

Mathematics
1 answer:
artcher [175]3 years ago
3 0

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

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Answer: \$175

Step-by-step explanation:

Since Gloria cannot pay for each minute talked but for packages of 200 minutes at the rate of $25 each, we have to make calculations according to these conditions as follows:

Month 1:

Gloria talked on her cell phone for 320 min. So, she had to buy 2 packages of 200 min for \$25 each package.

Hence:

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Month 2:

Gloria talked on her cell phone for 243 min. So, she had to buy again 2 packages of 200 min for \$25 each package.

Hence:

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Month 3:

Gloria talked on her cell phone for 489 min. So, she had to buy 3 packages of 200 min for \$25 each package.

Hence:

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Then, if we take the total Gloria had to pay for the frist three months, we have:

\$50 + \$50 + \$75= \$175

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3 years ago
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass
krok68 [10]
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3 years ago
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divide both sides by x
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Answer:

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Step-by-step explanation:

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