Question

Answer all questions olve the following logarithmic ec 2 log10 x + log103 = log10 75


`2 log_(10)x + log_(10)(3) = log_(10)(75)`






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Answer 1

Explanation:

We can rewrite the left-hand side as

`2\log{x} + \log{3} = \log{3x^2}`

Here, we used the following properties of logarithms:

`\log{x^a} = a\log{x}`

`\log{ab} = \log{a} + \log{b}`

We can then write

`\log{3x^2} = \log{75} \Rightarrow 3x^2 = 75`

or

`x = 5`