What is the common logarithm of 54.29?

Question

What is the common logarithm of 54.29?

2 Answers

Impact of this question

8387 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-10T11:44:00

$log(54.29) ~~ 1.73472$

Explanation:

$x = log(54.29)$ is the solution of $10^x = 54.29$

If you have a natural log ( $ln$ ) function but not a common $log$ function on your calculator, you can find $log(54.29)$ using the change of base formula:

$log_a(b) = log_c(b)/log_c(a)$

So:

$log(54.29) = log_10(54.29) = log_e(54.29)/log_e(10) = ln(54.29)/ln(10)$

Answer 2 · 2015-09-10T20:31:13

If you are using tables, you need:

Explanation:

$log54.29 = log(5.429 xx 10^1)$

log(5.429) +1.

From tables

$log5.42 = 0.73400$

$log5.43 = 0.73480$

$5.429$ is $9/10$ of the way from $5.42 " to " 5.43$ , so we get
$9/10 = x/80$ so $x=72$

by linear interpolation,

$log(5.429) = 0.74372$

So
$log(54.29) = 1.74372$

(I'm using $=$ rather than $~~$ in each case.)

Science

Math

Humanities

... and beyond

What is the common logarithm of 54.29?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question