Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

log(1/6)36 what is the answer its not 6???

Sagot :

vhv1122
turn it into exponent form, so Log(1/6)36 ⇒ (1/6)^x=36
1. 6²=36
2. (1/6)²=(1²/6²)=1/36
so Log(1/6)36=2
:) hope that helped...

Answer:

[tex]\text{log}_{\frac{1}{6}}(36)=-2[/tex]

Step-by-step explanation:

We have been given a logarithm expression [tex]\text{log}_{\frac{1}{6}}(36)[/tex]. We are asked to evaluate our given expression.

Using logarithm rule [tex]log_{\frac{1}{a}}(x)=-log_a(x)[/tex], we can write our expression as:

[tex]\text{log}_{\frac{1}{6}}(36)=-\text{log}_6(36)[/tex]

[tex]\text{log}_{\frac{1}{6}}(36)=-\text{log}_6(6^2)[/tex]

Using logarithm rule [tex]\text{log}_{a}(x^b)=b\text{log}_a(x)[/tex], we will get:

[tex]\text{log}_{\frac{1}{6}}(36)=-2\text{log}_6(6)[/tex]

Applying rule [tex]\text{log}_{a}(a)=1[/tex], we will get:

[tex]\text{log}_{\frac{1}{6}}(36)=-2\cdot 1[/tex]

[tex]\text{log}_{\frac{1}{6}}(36)=-2[/tex]

Therefore, [tex]\text{log}_{\frac{1}{6}}(36)=-2[/tex].

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.