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2 years ago

How to use exponents instead of logs

Mathematics

2 answers:

padilas [110]2 years ago

5 0

x=2/3the answer is helpful for you

PSYCHO15rus [73]2 years ago

3 0

Answer:

Convert into same base

Step-by-step explanation:

Convert both sides into same bases and equate the powers to solve for the variable.

Example:

8^x = 32

You can either use logs to bring the power down or convert both sides into the same base

8 = 2³

8^x = (2³)^x = 2^(3x)

32 = 2⁵

2^(3x) = 2⁵

3x = 5

x = 5/3

x = 1⅔

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Taya2010 [7]

Length=3width-5
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2 years ago

11 POINTS PLZ HELP EMERGENCY

Bad White [126]

Part A

The given expression is:

$(-5(1+2i)+3i(3-4i)$

We expand to get:

$-5-10i+9i-12i^2$

Note that $i^2=-1$

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Part Bi)

The given expression is;

$\sqrt{-50}$

We simplify to get:

$\sqrt{25\times 2\times -1}$

$\sqrt{25\times} \sqr{2}\times \sqrt{-1}$

Note that:

$\sqrt{-1}=i$

$5\sqr{2}i$

This is now of the form $a+bi$ , where $a=0,b=5\sqr{2}$ .

This explains why it is a complex number;

Part bii)

The given expression is :

$\frac{\sqrt{-50} }{\sqrt{5}}$

We simplify to get

$\sqrt{\frac{-50 }{5}}$

$\sqrt{-25}$

$\sqrt{-25}=\sqrt{25}\times \sqrt{-1}$

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$\sqrt{-25}=5i$

Part C

We want to simplify:

$i^{22}$

We rewrite in terms of $i^2$

$i^{22}=(i^2)^{11}$

$i^{22}=(-1)^{11}$

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Step-by-step explanation:

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1 year ago