Log-Please help ;/

[Kisooooo]

Please help!! I rewrote the left side to
logx/log2 + log(x-7)/log 10,
but I don't understand how to do continue.

Thanks!!!

 

[Deleted member 4993]

Please help!! I rewrote the left side to
logx/log2 + log(x-7)/log 10,
but I don't understand how to do continue.
View attachment 16010
Thanks!!!

convert 3 (on RHS) to log₁₀(10³) and continue....

 

[Dr.Peterson]

What base are you assuming for "log" without a subscript in your rewrite? If the base is 10, you don't need to write log(10).

But I'm not sure this can be solved algebraically. Are you allowed to solve graphically or numerically? I can easily find a solution by inspection (that is, looking for a value of x for which each log would be an integer).

 

[pka]

Please help!! I rewrote the left side to
logx/log2 + log(x-7)/log 10,
but I don't understand how to do continue.
View attachment 16010

HINT: \(\displaystyle \log_{10}(1)=0\)

 

[Steven G]

And log₂(8)=3