Question

The value of 216^log 49 base 6​

Answer 1

Answer:

147

Step-by-step explanation:

use log properties see the pictures

Answer 2

The value is $216^{\log_6{49}}=147$.

Step-by-step explanation:

Given : Expression $216^{\log_6{49}}$

To find : The value of the expression ?

Solution :

Using logarithmic property, $a^{\log_b{c}}=c\log_b(a)$

Here, a=216, b=6 and c=49

$216^{\log_6{49}}=49\log_6 (216)$

$216^{\log_6{49}}=49\log_6 (6^3)$

$216^{\log_6{49}}=3\times 49\log_6 (6)$

$216^{\log_6{49}}=3\times 49(1)$

$216^{\log_6{49}}=147$

Therefore, the value is $216^{\log_6{49}}=147$.

#Learn more

Simplify log 216+[log 42- log 6 / log 49]​

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