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2 years ago

Write 169=13^2 in logarithmic form

Mathematics

1 answer:

e-lub [12.9K]2 years ago

4 0

Answer:

$\log_{13}(169)=2$

Step-by-step explanation:

The given exponential form is:

$169=13^2$

The base of the given expression on the right is 13 and the exponent is 2.

The number is 169.

In terms of logarithms, the base still remains the base and the exponent becomes the result of the logarithm of the number 169 to the given base 13.

$\log_{13}(169)=2$

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Find a ·<br> b. |a| = 80, |b| = 50, the angle between a and b is 3π/4.

mart [117]

Answer:

$a\cdot b=-2000\sqrt{2}$

Step-by-step explanation:

Given information: |a| = 80, |b| = 50, the angle between a and b is 3π/4.

We need to find the dot product a · b.

The formula of dot product is

$a\cdot b=|a||b|\cos \theta$

where, θ is the angle between a and b.

Substitute the given values in the above formula.

$a\cdot b=(80)(50)\cos (\frac{3\pi}{4})$

$a\cdot b=4000\cos (\pi-\frac{\pi}{4})$

$a\cdot b=-4000\cos (\frac{\pi}{4})$ $[\because \cos (\pi-\theta)=-\cos \theta]$

$a\cdot b=-4000\frac{1}{\sqrt{2}}$

$a\cdot b=-\frac{4000}{\sqrt{2}}$

Rationalize the above equation.

$a\cdot b=-\frac{4000}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}$

$a\cdot b=-\frac{4000\sqrt{2}}{2}$

$a\cdot b=-2000\sqrt{2}$

Therefore, the value of a · b is $a\cdot b=-2000\sqrt{2}$ .

7 0

2 years ago

Read 2 more answers

Help with b please I have 25 minutes left

Semmy [17]

Answer:

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Step-by-step explanation:

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2 years ago

I need help with this one

Dennis_Churaev [7]

Answer:

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2 years ago

What is the value of 2x3 + x2 – x when x = 3?

Bad White [126]

Answer:

Step-by-step explanation:

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TL;DR

2*3+3^2-3

6+9-3

15-3

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2 years ago

Factor completely hint: check for trinomial before other methods

velikii [3]

This trinomial fully factored is 2(6p + 5q)(6p + 5q)

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2 years ago

Write 169=13^2 in logarithmic form​

Write 169=13^2 in logarithmic form