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

Step-by-step 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

$x = 5$