Question

if log root 3 X + log root root 3 X + log root root root 3 X + ........ upto 8 terms = 1530, then find the value of x​

Answer 1

thanks for uploading such interesting questions......

Answer 2

Heya mate,

There is your answer,. ⬆️⬆️

${ANSWER :-}$

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$<i>$ Some informations that you may need.

Root 3 = 3^1/2
Root root 3 = 3^(1/2 * 1/2) = 3^1/4
Root root root 3 = 3^(1/2*1/2*1/2) = 3^1/8


Also, log of a to the base b
= 1 / (log of b to the base a)

After that, taking, 1/(log of 3 to the x) common from each term, there is simple calculation.

➡️ Hence, value of x = 27.

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$<b>$ Hope this helps,.

If helps, please mark 'thanks'.

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