Question

help again.

Answer 1

log 10 (base a) = 0.25, what is the value of log a (base 10)?

Answer 2

\[\log_{a}10=0.25 \]
\[a ^{0.25}=10\]
\[a=10^{4}\]
\[\log_{10}a \]=\[\log_{10}10^{4} \]
=4

Answer 3

In your second step, @WilliamZhang if you take the 4th root of a to get rid of the .25, then you have to take the 4th root of 10 also. You put 10 to the 4th, which is not the same thing.\[a ^{.25}=a ^{\frac{ 1 }{ 4 }}=\sqrt[4]{a ^{1}}\]You have to do the same thing to the other side, which is to take the 4th root.

Answer 4

Are you sure?

Answer 5

I would have to say so, yeah.

Answer 6

whats you a then

Answer 7

1.77827941^4 = 10

Answer 8

at least my a is right\[\log_{10000}10=0.25 \]

Answer 9

i don't know how u think, but substitute my a into the function, mine is right

Answer 10

ok

Answer 11

\[(a ^{0.25})^{4}=10^{4}=10000\]

Answer 12

u suck :)