Question

Which logarithmic equation is equivalent to 25 = 32? log232 = 5 log532 = 2 log325 = 2 log25 = 32.

Answer 1

Answer:

1. C

2. A

3. C

Step-by-step explanation:

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Warm up slide 2

solving exponential and logarithmic equations

Answer 2

Logarithmic function is the inverse of the exponential function. The logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

What is the Logarithm function?

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Given to us

2⁵ = 32

As we know that we can convert a number powered to another number therefore exponential function into a log function, thus,

$2^5 = 32\\\\\rm log_2 32 = 5$

Hence, the logarithmic function that is equivalent to 2⁵ = 32 is log₂32=5.

Learn more about Logarithmic function:

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