Simplification question

[themathman]

How would I simplify these two equations.

b^(-logb(1/x))

and

logb(b(loga a^2))

 

[Dr.Peterson]

Well, these are expressions, not equations; but more important, we have to be sure of the notation. Does "logb" mean [MATH]\log_b[/MATH]? Is logb(b(loga a^2)) really [MATH]\log_b(b^{\log_a(a^2)})[/MATH] ?

Then, once the question is clear, we need to know where you need help. Do you know nothing about logarithms, or are you just getting stuck somewhere? Do you know properties of logs, including how to change base? That's why we ask you to show work and tell about your context. Please help us out.

 

[amathproblemthatneedsolve]

Well if your first expression is [MATH] b^(-log_b (1/x))[/MATH]Then your first steps are two transform the expression, simplify the expression and use the exponent rules.


And like Dr.Peterson said if you second expression is [MATH]\log_b(b^{\log_a(a^2)})[/MATH]
Then you need to simplify the expression I.e using [MATH]log_a (a^x)=x[/MATH] Then simplify again from that result.

Hope this helps?