Question

evaluate 1og base 7 343

can someone please explain how i evaluate this?

Answer 1

343 = 7^3...help?

Answer 2

log7 343\[\log_{7} 343\]

Answer 3

If u have log_a a^x the answer is x

So log_7 7^3 = 3

Answer 4

I'd evaluate it with a calculator.
But that basically means the number you raise 7 to to get 343.

Answer 5

Get it?

Answer 6

i dont know how to put it into my caculator

Answer 7

log_{7} 343 = x
means 7^x=343

Answer 8

eg log_10 100 = log_10 10^2 = 2

Answer 9

It is the reverse of the other questions u were doing...

Answer 10

7 to the what power = 343

Answer 11

\[\log7^{343}\]?

Answer 12

no the 7 is the base

Answer 13

Quiz

Answer 14

Calculators only have log base 10 and natural log, which is log base e. So you have to use a sweet math trick to get log base 7.
If you want log_7 343, you enter
(log_10 343) /log_10 7

Answer 15

2 way you can solve

Answer 16

Or in general, log_x y can be entered as
log_10 y / log_10 x

Answer 17

\[\frac{\log 343}{\log 7}=3\]

Answer 18

\[x = \log_ay\] means (is the same as saying) \[y=a^x\]

Answer 19

or: \[\log_7 ^{x}= 342\]\[7^x=343\]\[7^x=7^3\]
x=3\[\log_7^{({3})}=343\]

Answer 20

woulndt that mean the answer is 49?

Answer 21

3

Answer 22

7^3=343