MATHEMATICS HIGH SCHOOL

What is log(z^4/5) written in expanded form? 4logz−log5
4log5−logz
log5−4logz
logz−log5+4
please help asap will give brainliest

Answers

Answer 1
Answer:

The log expression log(z⁴/5) can be written in expanded form as 4log z - log 5 option (A) 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\nlog_ac =b

It is given that:

The log expression is:

= log(z⁴/5)

As we know, from the logarithm properties:

log mⁿ = n log m

log(m/n) = log m - log n

Applying log properties we get:

= log(z⁴/5)

= log z⁴ - log 5

= 4log z - log 5

Thus, the log expression log(z⁴/5) can be written in expanded form as 4log z - log 5 option (A) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

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Answer 2
Answer:

To get answer:

\mathrm{Apply\:log\:rule}:\quad \log _c\left((a)/(b)\right)=\log _c\left(a\right)-\log _c\left(b\right)\n\log _(10)\left((z^4)/(5)\right)=\log _(10)\left(z^4\right)-\log _(10)\left(5\right)\n=\log _(10)\left(z^4\right)-\log _(10)\left(5\right)\n\mathrm{Simplify}\:\log _(10)\left(z^4\right)\n\log _(10)\left(z^4\right)\n\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0\n=4\log _(10)\left(z\right)\n

Answer: 4\log _(10)\left(z\right)-\log _(10)\left(5\right)

Answer: 4logz−log5

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Answers

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−

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Step-by-step explanation:

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