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How do you solve #ln(x+8)-ln7=3#?

1 Answer

Aug 5, 2016

#x=7e^3-8 ~= 132.6#

Explanation:

#ln(x+8)-ln7=3#

Since #lna-lnb=ln(a/b)#

#ln(x+8)-ln7 = ln((x+8)/7)#

Since #lna=b -> a=e^b#
Our equation can be written as: #(x+8)/7=e^3#

Hence: #x+8 = 7e^3#

#x=7e^3-8 ~=132.6#

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