Question

Which logarithmic equation is equivalent to the exponential equation below? 7^x=21

Answer 1

Answer:

$\log_721=x$

Step-by-step explanation:

We have been given the exponential function $7^x=21$

We know the relation between exponential and logarithmic function

$\text{if }y=b^x\Rightarrow\log_b(y)=x$

Comparing, this with the given equation, we get

y = 21

b = 7

x = x

Thus, using the relation, we have

$7^x=21\\\\=\log_721=x$

Therefore, the equivalent logarithmic equation is

$\log_721=x$

Answer 2

Log base 7 (21)=x
Hope this helps!