Question

What is the exponential form of the logarithmic equation? 3=log0.6 0.216

Answer 1

Answer:

0.216 = 0.6³

Step-by-step explanation:

using the rule of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

$log_{0.6}$ 0.216 = 3 ⇒ 0.216 = $0.6^{3}$

Answer 2

Answer:

$(0.6)^3= 0.216$

Step-by-step explanation:

$3=log_{0.6} 0.216$

To convert log form into exponential form we use a rule

$if \ x=log_b(a) \ then \ b^x=a$

WE apply this rule to convert log form in to exponential form

$3=log_{0.6} 0.216$

The base of log becomes the base of the exponent

$(0.6)^3= 0.216$