Question
If log₃(x + 1) − log₃(x − 1) = 2, find
x.Solution
ATQ,'
Using log property: log₃((x + 1)/(x − 1)) = 2 Convert to exponential form: (x + 1)/(x − 1) = 3² = 9 Simplify: x + 1 = 9x − 9 10 = 8x x = 5/4 Check validity: x > 1 ✔️ Final Answer: x = 5/4
In the following question, a relationship between different elements is shown in the statements followed by two conclusions I and II. Assuming the state...
Statements: S * K, T $ K, K @ B
Conclusions: a) S $ B b) S @ B
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression...
Statements: I < P = S ≥ O > W < E≤ G ≥ A
Conclusion
I: O ≤ P
II: G > O
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
Statements: S = R, T ≤ U, O < J, T ≤ J, U > R
Conclusion:
I. R ≥ T
II. R < T
Statements: K ≥ N = I ≥ H ≤ U; B = S ≤ I
Conclusion: I. B < K II. B = K
Statements: M ≤ N = O ≤ P; P = Q ≤ U; R > N = U
Conclusions:
I. R > O
II. U ≥ M
