Give the definition of logarithms, Mathematics

Assignment Help:

Give the Definition of Logarithms ?

A logarithm to the base a of a number x is the power to which a is raised to get x.

In equation format:

If x = ay, then loga x = y.

Example 1: Convert the logarithmic equation log3 9 = 2 to an exponential equation.
Solution:
log3 9 = 2          32 = 9 By the definition of logarithms.
Example 2: Convert the logarithmic equation log2 16 = 4 to an exponential equation.
Solution:
log2 16 = 4         24 = 16 By the definition of logarithms.
Example 3: Convert the logarithmic equation log5 1/25 = -2 to an exponential equation.
Solution:
log 5 1/25 = -2   5-2 = 1/25 By the definition of logarithms.

 

 


Related Discussions:- Give the definition of logarithms

Simplifying rational expressions, I need to simple this rational expression...

I need to simple this rational expression, but I can''t figure out how. (x+1)/(x^2-2x-35)+(x^2+x-12)/(x^2-2x-24)(x^2-4x-12)/(x^2+2x-15)

HELP, WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

Basic mathematics, I need help with my homework, I am to the edge right now...

I need help with my homework, I am to the edge right now with this w=5pq/2

Intersection of perpendicular tangents of hyperbola., If angle between asym...

If angle between asymtotes of hyperbola x^2/a^2-y^2/b^=1 is 120 degrees and product of perpendicular drawn from foci upon its any tangent is 9. Then find the locus of point of inte

Two consecutive integers is 15 find out the larger integer, If the differen...

If the difference among the squares of two consecutive integers is 15 find out the larger integer. Let x = the lesser integer and let x + 1 = the greater integer. The sentence,

#perimeter, what are the formulas in finding the perimeter of a plane figur...

what are the formulas in finding the perimeter of a plane figure?

Ratios, the ratio of boys to girls in the sixth grade is 2:3 if there are ...

the ratio of boys to girls in the sixth grade is 2:3 if there are 24 boys, how many are girls?

Course work2 , (b) The arity of an operator in propositional logic is the n...

(b) The arity of an operator in propositional logic is the number of propositional variables that it acts on – for example, binary operations (e.g, AND, OR, XOR…) act on two propo

Which number falls among 5.56 and 5.81, Which number falls among 5.56 and 5...

Which number falls among 5.56 and 5.81? If you add a zero to the end of 5.6 to get 5.60, it is simpler to see that 5.56

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd