Question

Write each equation in exponential form.

log6*216 = 3 (the 6 is supposed to be at the bottom right of log)

Answer 1

The exponential form of equation
`log_(6)(216)=3` is (6)³ = 216

Explanation:

The exponential equation of
`log_(b)(a)=c` is
`a=b^(c)` , where b is the base, c is the exponent of b and a is the value of
`b^(c)`

Ex:
`log_(2)(8)=3` , its exponential function is
`2^(3)=8`

Now let us solve the question

∵
`log_(6)(216)=3`

∴ The base is 6

∴ The exponent is 3

∴ The answer is 216

∴ The exponential equation is (6)³ = 216

The exponential form of equation
`log_(6)(216)=3` is (6)³ = 216