Logarithms – properties ( Radicals) – pg.7/10
pg. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
6. Logarithms of Radicals
The logarithm of a radical expression is equal with the radical’s index multiplied with the radicand logarithm. (Look to radicals’ terminology here)
Let’s consider:
[14]
By raising to the power both sides of equality [14] we have:
[15]
By writing each side of equality [15] in a logarithmic form, with same base , we have:
( see pg.6) or:
[16]
By replacing the value of from [14] into [16] we have:
[17]

When or we can write:

When or we can write:

Example:
pg. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
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