Question

log3​(a)=2 Solve for b where b=log3a​(3)​
​

Answer 1

Answer:

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Step-by-step explanation:

log

a

3=2⇒

loga

log3

=2⇒loga=

2

log3

[∵log

a

b=

loga

logb

]

And log

b

8=3⇒log

b

2

3

=3⇒3log

b

2=3⇒log

b

2=1[∵loga

m

=mloga]

⇒

logb

log2

=1⇒logb=log2

∴log

a

b=

loga

logb

=

log3

2log2

=

log3

log4

=log

3

4