How to use logarithm to solve for x?
Can someone please explain to me how to do from question e onwards? Thanks!
Can someone please explain to me how to do from question e onwards? Thanks!
2 Answers
Each of these log questions are written in the form
For example, let's take
Explanation:
#(e)#
#"using the "color(blue)"laws of logarithms"#
#•color(white)(x)logx^nhArrnlogx#
#•color(white)(x)log_b b=1#
#"given "10^x=110#
#"take " log_(10)" of both sides"#
#rArrlog_(10)10^x=log_(10)110#
#rArrxcancel(log_(10)10)^1=log_(10)(11xx10)#
#rArrx=log_(10)10+log_(10)11#
#rArrx=1+log_(10)11#