log5 x∧4 + log5 2x - log5 3x - correct. The property of logarithms to be used a log b = log a∧b.
What is logarithm?
A logarithm is a mathematical function that represents the relationship between the logarithm of a number and its actual value. In simpler terms, a logarithm is the exponent to which a base must be raised to get a certain value.
According to question:
4 log5 x + log5 2x - log5 3x
- log5 4x + log5 2x - log5 3x
- log5 8x²- log5 3x
- log5 (8x²/3x)
- log5(8/3 x)
Marta incorrectly applied a property of logarithms at step 1:
log5 4x + log5 2x - log5 3x - incorrect
log5 x∧4 + log5 2x - log5 3x - correct
The property of logarithms to be used:
a log b = log a∧b.
Therefore at step 1 she incorrectly applied.
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