Find the difference in the logarithms of the given weights. (Subtract the smaller logarithm from the larger one.) The weight of a star is 1023 times as much as the weight of a hippopotamus.
+23254 log(star) - log(hippo)
If hippo weights x, star weighs 1023x
log(1023x) - log(x)
= log(1023x) - log(1x)
To find the log of a product, add the logs of the factors:
= log(1023) + log(x) - [log(1) + log(x)]
= log(1023) + log(x) - log(1) - log(x)
Since log(1) = 0
= log(1023)
+23254 log(star) - log(hippo)
If hippo weights x, star weighs 1023x
log(1023x) - log(x)
= log(1023x) - log(1x)
To find the log of a product, add the logs of the factors:
= log(1023) + log(x) - [log(1) + log(x)]
= log(1023) + log(x) - log(1) - log(x)
Since log(1) = 0
= log(1023)
