Solve the logarithmic equations. 1 2  3 4 5 The best Maths tutors available 4.9 (36 reviews) 1st lesson free!
4.9 (30 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (32 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (22 reviews) 1st lesson free! 5 (17 reviews) 1st lesson free! 4.9 (8 reviews) 1st lesson free! 4.9 (36 reviews) 1st lesson free!
4.9 (30 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (32 reviews) 1st lesson free! 5 (16 reviews) 1st lesson free! 5 (22 reviews) 1st lesson free! 5 (17 reviews) 1st lesson free! 4.9 (8 reviews) 1st lesson free! Let's go Exercise 2Solve the logarithmic simultaneous equations. 1 2 3 Solution of exercise 1Solve the logarithmic equations. 1 Applying the logarithmic power rule here, we will get the following expression: Write the two terms on the left hand side as a single log function by applying logarithm product rule: Since both sides of the equation has log functions, so you can write the resultant expression without them like this: Set the equation equal to 0 by taking The above fraction can be written as: Either Hence, If we substitute 3 By taking the factors from right hand side of the equation to the left hand side and setting the equation to 0, we will get the following expression: Suppose By substituting the We will factor the above equation by expanding it and writing the factors in two pairs like this: Either Hence, t = 1 or t = -2 Remember that we assumed By converting the above values in exponential form, we get the following values of 4 Apply the power rule here to write the equation as follows: Cancel the log functions on both sides of the equation to get the following algebraic expression: Use the formula to expand the right hand side of the equation: 5 Take the expression from the denominator on the left hand side to the numerator on the right hand side of the equation: Apply the logarithm power rule here to get the following equation: Cancel the log functions from both sides of the equation and solve the resultant equation algebraically: Find factors of above expression by expanding it: Hence, Solution of exercise 2Solve the logarithmic simultaneous equations. 1
and If If 3 We can rewrite the second equation using the exponent product rule: Suppose We will solve this equation through substitution: Substitute this value of Put this value of Remember that Hence, Since, 2 raised to the power 2 is equal to 4, so the value of Similarly, 3 raised to the power 3 is equal to 27, so Find a good maths tutor near me here. |
Solving logarithmic equations worksheet with answers pdf
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