## anonymous one year ago What is the missing exponent? (6 )-4 = 620

1. anonymous

(6 )^-4 = 620 (the negative 4 is an exponent)

2. campbell_st

so are you looking for the exponent of 6...? as in $(6^x)^{-4} = 620$

3. anonymous

yes

4. anonymous

@campbell_st

5. campbell_st

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

6. anonymous

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

7. anonymous

@campbell_st

8. campbell_st

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