Answer :
Answer:
log3 4
Step-by-step explanation:
To write the two expressions as a single logarithm, we use the division law of logarithms since they are in the same base already.
Hence, log3 40 - log3 10 = log3 (40/10) = log3 4
An expression [tex]\boldsymbol{\log_3 (40)-\log_3 (10)}[/tex] can be written as a single expression as equal to [tex]\boldsymbol{\log_3 4}[/tex]
The logarithm is defined as the inverse function to exponentiation.
The logarithm of a given number [tex]a[/tex] to the base '[tex]b[/tex]' is the exponent indicating the power to which the base '[tex]b[/tex]' must be raised to obtain the number [tex]a[/tex].
Given expression is [tex]\log _3(40)-\log _3(10)[/tex].
Use the formula: [tex]\boldsymbol{\log _a(b)-\log _a(c)=\log_a\left ( \frac{b}{c} \right )}[/tex]
Put values of [tex]a,b,c[/tex] as [tex]3,40,10[/tex] respectively.
[tex]\log _3(40)-\log _3(10)=\log_3\left ( \frac{40}{10} \right )[/tex]
[tex]=\boldsymbol{\log_3 4}[/tex]
So, the expression [tex]\log_3 (40)-\log_3 (10)[/tex] can be written as a single expression as equal to [tex]\log_3 4[/tex]
For more information:
https://brainly.com/question/8657113?referrer=searchResults