Plzzz help in this prblm solve for (x)
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Hope u like my process
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![= > \bf 2 log(x) + \frac{1}{3} log(125 {x}^{3} ) = 3 log(2) + log(5) \\ \\ = > log( {x}^{2} ) + log( {(5x)}^{3 \times \frac{1}{3} }) = log( {2}^{3} ) + log(5) \\ \\ = > log( {x}^{2} \times 5x ) = log(8 \times 5) \\ \\ = > 5 {x}^{3} = 40 \\ \\ = > {x}^{3} = \frac{40}{5} = 8 = {2}^{3} \\ \\ = > \bf \: x = \sqrt[3]{ {2}^{3} } = \underline{2}](https://tex.z-dn.net/?f=+%3D++%26gt%3B+%5Cbf+2+log%28x%29+++%2B++%5Cfrac%7B1%7D%7B3%7D++log%28125+%7Bx%7D%5E%7B3%7D+%29++%3D+3+log%282%29++%2B++log%285%29++%5C%5C++%5C%5C++%3D++%26gt%3B++log%28+%7Bx%7D%5E%7B2%7D+%29++%2B++log%28+%7B%285x%29%7D%5E%7B3+%5Ctimes++%5Cfrac%7B1%7D%7B3%7D+%7D%29++%3D++log%28+%7B2%7D%5E%7B3%7D+%29++%2B++log%285%29++%5C%5C++%5C%5C++%3D++%26gt%3B++log%28+%7Bx%7D%5E%7B2%7D+%5Ctimes+5x+%29++%3D++log%288+%5Ctimes+5%29++%5C%5C++%5C%5C++%3D++%26gt%3B+5+%7Bx%7D%5E%7B3%7D++%3D+40+%5C%5C++%5C%5C++%3D++%26gt%3B++%7Bx%7D%5E%7B3%7D++%3D++%5Cfrac%7B40%7D%7B5%7D++%3D+8+%3D++%7B2%7D%5E%7B3%7D++%5C%5C++%5C%5C++%3D++%26gt%3B++%5Cbf+%5C%3A+x+%3D++%5Csqrt%5B3%5D%7B+%7B2%7D%5E%7B3%7D+%7D++%3D++%5Cunderline%7B2%7D "= > \bf 2 log(x) + \frac{1}{3} log(125 {x}^{3} ) = 3 log(2) + log(5) \\ \\ = > log( {x}^{2} ) + log( {(5x)}^{3 \times \frac{1}{3} }) = log( {2}^{3} ) + log(5) \\ \\ = > log( {x}^{2} \times 5x ) = log(8 \times 5) \\ \\ = > 5 {x}^{3} = 40 \\ \\ = > {x}^{3} = \frac{40}{5} = 8 = {2}^{3} \\ \\ = > \bf \: x = \sqrt[3]{ {2}^{3} } = \underline{2}")
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Hope this is ur required answer
Proud to help you
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_________________________
Hope this is ur required answer
Proud to help you
Aaditiyadav:
Tysm!!!
welcome!!
(-: Bhai awesome answer !!
thanks bhai
Bhai tomorrow i have my exam can you please answer my 2 questions please bhai.
https://brainly.in/question/5295826
I am outdoors now
don't have any notebook with. me
Ok bhai. Fine. I will try asking other users.
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