Logarithms

Logarithms (Question)

Solve the following logarithms expression.

1. 3^x = 25
2. log₃5
3. log₂x = 10

Guide:

• If you remember the laws of logarithms, you may notice that sometimes logarithms expression can be written in different ways.
• Example, you can see from below on how the logarithm expression can be simplied when logorithms with same base be added or subtracted from one another.

The laws of logarithms

• log_am + log_an = log_a(m * n) = log_amn
• log_am – log_an = log_a(m / n)
• log_am^b = b*log_am
• log_a1 = 0
• log_aa = 1
• alog_ax = x
• log_ax = log_bx/log_ba

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