answersLogoWhite

0

How do you solve log2 equals x?

Updated: 12/15/2022
User Avatar

Wiki User

13y ago

Best Answer

log(2) = X

can be expressed exponentially like this, because by the definition of logs( base 10) this is what this means.

10^X = 2

take natural log each side

ln(10^X) = ln(2)

you have right to place X in front of ln

X ln(10) = ln(2)

X = ln(2)/ln(10) ( not ln(2/10)!! )

X = 0.3010299957

check

10^0.3010299957

= 2

checks

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you solve log2 equals x?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How to solve Log 2 Log 2 Log 2 X equals 0 here 2 is the base not any number?

I guess you mean log2{log2[log2(x)]} = 0 ?Let Y = {log2[log2(x)]}, so you have log2[Y] = 0The solution to this is Y = 1,Then you a simpler equation: log2[log2(x)] = 1Let Z = log2(x), so log2[Z] = 1, solves to Z = 2,so log2(x) = 2, and x = 4


How do you solve log base 2 of x - 3 log base 2 of 5 equals 2 log base 2 of 10?

[log2 (x - 3)](log2 5) = 2log2 10 log2 (x - 3) = 2log2 10/log2 5 log2 (x - 3) = 2(log 10/log 2)/(log5/log 2) log2 (x - 3) = 2(log 10/log 5) log2 (x - 3) = 2(1/log 5) log2 (x - 3) = 2/log 5 x - 3 = 22/log x = 3 + 22/log 5


What is 102a if log2 equals a and log3 equals b?

Find 102a if log2=a and log3=b B has no purpose in this question If a=log2, then 102a =102(log2)


What is the inverse of y equals 2 to the x power?

if y = 2x then x = log2 y


How do you solve log base 2 of 3 to the 1000?

log2(31000) = 1000 log2(3)log2(3) = 1.585 (rounded)1000 log2(3) = log2(31000) = 1,584.96(rounded)


Log3 81 x log2 8 x log4 2 equals x?

log3 81 × log2 8 × log4 2 = log3 (33) × log2 (23) × log4 (40.5) = 3 × (log3 3) × 3 × (log2 2) × 0.5 × (log4 4) = 3 × 1 × 3 × 1 × 0.5 × 1 = 9 × 0.5 = 4.5


Which logorithmic equation is equivalent to the exponential equation 2 x equals 22?

If 2x = 22 Then x = Log2 22


How do you solve 4y plus x equals 8?

How do you solve 4y plus x equals 8


How do you solve log1 plus log2 plus log3?

log1 + log2 + log3 = log(1*2*3) = log6


Given that p equals log2q find an expression in terms of p for log2 routeq and log2 8q?

log2 sqrt(q) = p/2 log2 8q = 3 + p And it is root, not route.


What is log2 8 equals 3 in exponential form?

log2(8) = 3 means (2)3 = 8


When you solve for x what is x plus 13 equals 22?

X +13 equals 22, X equals nine