Question

Write the exponential equation in logarithmic form.
3x = 243
1.log3243 = x
2.log243^x = 3
3.logx^3 = 243
4.log3^x = 243

Answer 1

if you dont get the answer just give me your answer. thx

Answer 2

Is the original equation \(3^x = 243\)?

Answer 3

yes

Answer 4

log base3 of 243 = x

Answer 5

Ok, so remember the definition of the logarithm:

\[b^k = a \iff log_b (a) = k\]

Look at your problem, and the part of the definition on the left side. From that general description, what would be the b, the k, and the a in your problem?

Answer 6

this has always been hardest for me...

Answer 7

\[3^x = 243\]
\[b^k = a\]

If I tell you that those two equations are equivalent, what is the 'b' in the first equation?

Answer 8

u might find it easier to convert this type of espression by
rememberibg

10^ 2 = 100

10 is the base, 2 is the log
so log to the base 10 of 100 = 2

the log is the power

Answer 9

sometimes it is easier to remember the relation in numbers than in letters

Answer 10

I find the opposite to be true. Numbers just confuse what I'm doing since those typically get plugged into the calculator and lose all meaning. ;p

Answer 11

yes - it depends on the person- my teaching experience has taught me that

Answer 12

help me

Answer 13

if it is 3^x = 243 then \[\log_{3 } 243 = x\]

Answer 14

I think (1) is true. but it is written a little untidy.