Logarithm laws
The question
Check this line: log(x²) + log(x⁵) = 7 log x. Which is correct?
Check this line: log(x²) + log(x⁵) = 7 log x. Which is correct?
log(x²) + log(x⁵)
log(x²) + log(x⁵)=2 log x + 5 log x
log(x²) + log(x⁵)=2 log x + 5 log x
log(x²) + log(x⁵)=7 log x
log(x²) + log(x⁵)=7 log x
they wrote:7 log x
- Do the step yourself first, then compare with their line.
- On your own, writing every step: log(x²) + log(x⁵) becomes 2 log x + 5 log x.
- Tidy that up and it is 7 log x.
- Now compare — this time the two agree, so their line is right.
How it works.
- 01
Do the step yourself first, then compare with their line.
- 02
On your own, writing every step: log(x²) + log(x⁵) becomes 2 log x + 5 log x.
- 03
Tidy that up and it is 7 log x.
- 04
Now compare — this time the two agree, so their line is right.