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Norma-Jean [14]
3 years ago
14

Which of the following equations is equivalent to the logarithmic equation below? x = In4

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Given:

The equation is:

x=\ln 4

To find:

The equations that is equivalent to the given logarithmic equation.

Solution:

We have,

x=\ln 4

It can be written as:

e^x=e^{\ln 4}

e^x=4                  [\because e^{\ln x}=x]

Therefore, the correct option is D.

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What is the solution of log2x+3125 = 3? (1 point)
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Answer:

x =  - 1062.5

Step-by-step explanation:

Assuming the equation is:

log(2x + 3125)  = 3

Then taking antilogarithms gives:

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We simplify on the left to get:

2x + 3125 = 10 \times 10 \times 10

This gives us:

2x + 3125 =1000

We subtract 3125 from both sides to get:

2x = 1000 - 3125

2x = -  2125

x =  - 1062.5

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<span>The ordinate is three more than twice the abscissa
</span>Ordnate: y; Abscissa: x
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