SOLUTION: solve the equation for x express answer in deciamal value log16^8-log25^5=x

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Question 565009: solve the equation for x express answer in deciamal value log16^8-log25^5=x
Answer by lwsshak3(11628) About Me  (Show Source):
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solve the equation for x express answer in deciamal value
log16^8-log25^5=x
log(16^8/25^5)=x
convert to exponential form: base(10) raised to log of number(x) = number(16^8/25^5)
10^x=(16^8/25^5)≈439.80465..
take log of both sides
xlog10=log439.80465..
x≈2.6433