Question

x=log₃17

Answer 1

What's the question here?

Answer 2

solve for x

Answer 3

or................ actually that's too much also. just plug this into a calculator / use change of base

Answer 4

how ?

Answer 5

If you can use an online calculator you can just type this in like this: x = log3^17 and it will give you the answer.

Answer 6

no i have to learn how to do this mathematically

Answer 7

without the use of advanced calulators

Answer 8

There is a change of base rule for logs that states\[\log_{a}b=\frac{ \log_{c}b }{ \log_{c}a } \]

Answer 9

c can be anything like 3 for example

Answer 10

or 10 or e

Answer 11

on most calculators, the log button is log base 10. ln = log base e

Answer 12

ohh thanks @ArkGoLucky

Answer 13

what if the x is an exponent like this \[4^x=10\]

Answer 14

For this problem, that would mean
\[x=\log_{3}17=\frac{ \log17 }{ \log3 } \] where log 17 and log 3 are common log
of course as RONNCC stated, the log does not have to be a specific number. it just has the be the same base for top and bottom of the fraction and not one of the number in the original log. Most calculators have common log

Answer 15

@burhan101 so than x = log base 4 of 10. and apply log base formula

Answer 16

*then

Answer 17

log410=x like that ?

Answer 18

oppps the 4 would be a subscript

Answer 19

yes

Answer 20

okayy just one more type of example \[\large 80=10 \log(\frac{ 1 }{ 2 })^x\]

Answer 21

...... 8 = log(1/2)^x. by log rules that means 8 = x log (1/2). then x = 8/log(1/2)

Answer 22

typoooooo *

Answer 23

\[80=10\frac{ 1 }{ 2 }^x\]

Answer 24

@ArkGoLucky how would i solve that ?

Answer 25

well then do 8 = .5*x so log base .5 of 8. so via change of base x = log(8)/log(.5)

Answer 26

YOu can divide both sides by 10 getting \[8=\log(\frac{ 1 }{ 2 })^{x}\]There another change of log rule that states \[\log_{a}b ^{c}=c \log_{a}b \]using this rule you can find that \[8=xlog(\frac{ 1 }{ 2 })\]
You can find x by dividing 8 by log(1/2)