Question

What is the missing exponent?

(6 )-4 = 620

Answer 1

(6 )^-4 = 620

(the negative 4 is an exponent)

Answer 2

so are you looking for the exponent of 6...?

as in \[(6^x)^{-4} = 620\]

Answer 3

yes

Answer 4

@campbell_st

Answer 5

ok... so using the power of a power law which means multiply the powers

\[6^{-4x} = 620\]

now you need logs to solve it

take the log of both sides

\[\ln(6^{-4x}) = \ln(620)\]

applying the log laws for powers

\[-4x \times \ln(6) = \ln(620)\]

so

\[-4x = \frac{\ln(620)}{\ln(6)}\]

now solve for x

Answer 6

I'm still confused, how do I solve for x?

Answer 7

@campbell_st

Answer 8

so when you get a value for the log division, just divide it by -4