Algebra 2 logs

Question

-1/4logw=log1-2log7

how to solve ? 

Answer 1

(-1/4)logw = log1 - 2log7

 

        logw = -4(log1) + 8(log7)

 

        logw = -4(0) + log(7⁸)

 

        logw = log(7⁸)

 

So, w = 7⁸ = 5,764,801

 

Answer 2

(-1/4)log w = log 1 - 2 log 7

(-1/4)log w = 0 - 2 log 7

log w = -2log 7

log w ≈ -2 (0.845)

 

Can you calculate w?