Question

Which of the following is the solution to the equation 25(z − 2) = 125?

z = 5.5
z = 3.5
z = −2.5
z = −0.5

Answer 1

i think -2.5 but im not sure

Answer 2

The solution to the equation 25(z − 2) = 125 is 3.5 after taking the log on both sides with the base 10, option second is correct.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

$\rm a^b = c$

$\rm log_ac =b$

We have:

$\rm 25^{(z - 2)} = 125$

Take log both sides:

$\rm log25^{(z - 2)} = log125$

$\rm {(z - 2)} log25= log125$

z-2 = 1.5   (log125/log25 = 1.5)

z = 1.5+2 = 3.5

Thus, the solution to the equation 25(z − 2) = 125 is 3.5 after taking the log on both sides with the base 10, option second is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

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