Algebra 2
posted by Ana .
how do i solve these two problems?
3log(base5)^(x^2+9)6 = 0
log(base8)^(n3) + log(base8)^n+4)= 1
can you tell me step by step as well as the answers? please and thank you

Here is how to do the first one. The second is similar. First simplify the algebra. Then write the log equation in a different form.
3 log(base5)^(x^2+9) = 6
log(base5)^(x^2+9) = 2
Which is another way of saying:
5^2 = 25 = x^2 + 9
x^2 = 16
x = + or  4 
how'd you get the log(base5)^(x^2+9) = 2 ?

I divided both sides of the first equation by 3. It's a perfectly "legal" operation when dealing with algebraic equations.
Respond to this Question
Similar Questions

Math: Algebra2 Logarithms
Can someone help me find the value of B in this expression? 
Algebra 2
i don't know how to do this problem. i keep getting stuck. can anyone help me? 
Maths
I got this question, and found what I believe to be the solution, but want it confirmed. I started with: log[base5](2x+1) + log[base5](x1) = 1 And used the product law: log[base5]((2x+1)(x1)) = 1 log[base5](2x^2x1) = 1 Then I changed … 
Algebra
will you please show me step by step in solving: 1/2 log b + 3 log c. I need to express as a single log logarithm and if possible, simplify Thanks 
adv functions
Hi! I need help with determining the value of each of the following logarithmic expressions. Do not change the bases thx a) log[base8]4 b)log[base(1/3)]27 
mathematics
Need help with these: Write the expression as a logarithm of a single quality. a) 3log[base5](a) + 4log[base5](b)  2log[base5](c) b) 3log(2)(1/3)log((x)^(2)  1) I appreciate help. 
college algebra
Write expression as one logarithm and simplify if appropriate. log 3√x + log x^4  log x^3 4 log (x+3)  5 log (x^2+4) + 1/3 log y I have these who problems but I don't know where to start. HELP Please. 
PreCalc Help please
Solve for x: log base5 (4x) + log base5 (x) = log base5 (64) 
Calculus
Find A so that 5log(base5)16807 − 3log(base5)7 = log (base5)A I don't even know how to start this one...should I remove the 5 and 3 in front of the logs? 
math
LOG(base5)(3/5)+3log(base5)(15/2)log(base5)(81/8)