3 years ago

Can someone help me with this question

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:

Step-by-step explanation:

from the attached diagram, we can see that

LN = MP

3x + 1 = 8x -4

8x-3x = 1 + 4

5x = 5

x = 1

hence

LN = 3x+ 1 = 3(1) + 1 = 4

NM = 4x-1 = 4(1) - 1= 3

hence by Pythagorean formula,

diagonal NP = diagonal LM = √( 3² + 4²) = √25 = 5

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Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y

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The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

$5^{x-2}= 8$

Taking Log on both sides.

$Log_e 5^{x-2}=Log_e8$

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