SOLUTION: log10a+log10(a-6)=2

Question 940229: log10a+log10(a-6)=2
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log10a+log10(a-6)=2
--------------
log10[a(a-6)] = 2
-----
a(a-6) = 10^2
----
a^2 - 6a - 100 = 0
----
Positive solution:
a = 13.440...
Cheers,
Stan H.
---------------
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Express as a log

----------------------
Use the quadratic formula

------------------
check answer:

close enough

RELATED QUESTIONS
{{{log10(x-6) + log10 (x-6) = 2... (answered by stanbon)
x(log10 5-1)= log10 (2^x +1)- log10... (answered by Alan3354)
{{{log10(a)+log10(a+21)=2}}} (answered by hayek)
log10^24+log10^2 (answered by nerdybill)
log10(6) (answered by ikleyn)
Given that log10 2=0.3010 and log10 3=0.4771 calculate without using logarithm tables a. (answered by josgarithmetic,greenestamps)
Solve. log10 18 - log10 3x = log10... (answered by fcabanski)
Solve the equation :... (answered by josgarithmetic)
Given log10 2=.3010 and log10 3=.4771, find each logarithm without using a calculator. (answered by nerdybill)