solve Log5(x-4)= Log7 X for X. Round your answer to four decimal places
for log y= log(0.5x-3)+ Log 2 state the domain,and express y as a function of x
Welcome to MHF! Please post only one question per thread in the future.
I am assuming by "log" you mean . In higher math, this can mean so be careful and specific.
I'll help with your second question. Notice that log(x) has a real domain for x>0, not including 0. So use that to make some deductions. Firstly, 0.5x-3 > 0 for this to work but also log(0.5x-3) > 0 so that log(y) is defined. For what values of "a" is log(a) negative?
Change both sides using this method then combine terms using log rules.
log base 7 X =
As is your calculator probably doesn't have a base 7 logarithm button (if it does feel free to evaluate it directly unless you're told to use the change of base)
The problem above can be converted to base 10, which should be on your calculator so you can punch in the numbers and solve: