Respuesta :
Answer:
log x
Step-by-step explanation:
Using the rule of logarithms
• log [tex]x^{n}[/tex] ⇔ n log x
Hence
log [tex]x^{4}[/tex] - log x³
= 4 log x - 3 log x
=log x
The value of logx⁴ - logx³ will be logx.
What is a logarithm?
The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
If you want to write 1 in logarithm then it will be log(base).
The first method →
Given,
⇒ logx⁴ - logx³
By log property that loga7 = 7loga
⇒ 4logx - 3 logx
⇒ logx
The second method →
This question can also be solved by another log property that
logm - logn = log(m/n)
Since given,
logx⁴ - logx³ = log(x⁴/x³) = logx
Hence, The value of logx⁴ - logx³ will be logx.
For more about logarithm,
https://brainly.com/question/20785664
#SPJ2
