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標題:
Logarithmic2
發問:
Please write the step clearly,and state the property you have been used1. log base 25 9 × log base 27 5=log base 5 9/log base 5 25 ×log base 3 5/log base 3 27=???2.log base 8 ^3√49/ log base 32 73.log base 25 (2x)-log base 5 8=04.2log base 4... 顯示更多 Please write the step clearly,and state the property you have been used 1. log base 25 9 × log base 27 5 =log base 5 9/log base 5 25 ×log base 3 5/log base 3 27 =??? 2.log base 8 ^3√49/ log base 32 7 3.log base 25 (2x)-log base 5 8=0 4.2log base 4 (xy)+ log base 4 x^5/ 3 log base 4 x^4 - 4 log base 4√x/y
最佳解答:
(1) [log(25) 9][log(27) 5] = (log9/log25)(log5/log27) = [(2log3)/(2log5)][log5/3log3] = 1/3 (2) [log(8^3)√49] / [log(32) 7] = [log(√49)/log(8^3)] / (log7/log32) = [(log7)/(3log8)] * (5log2/log7) = [(log7)/(9log2)] * (5log2/log7) = 5/9 (3) [log(25) 2x] - [log(5) 8] = 0 log(2x) / log(25) = log8 / log5 log(2x) / (2log5) = log8 / log5 log(2x) = 2log8 log(2x) = log64 2x = 64 x = 32 (4) {[2log(4) xy] + [log(4) x^5]} / {[3log(4) x^3] - [4log(4)(√(x/y)]} = {[log(4) x^2y^2] + [log(4) x^5]} / {[log(4) x^9] - [log(4) (x^2/y^2)]} = {log(4) (x^2y^2)(x^5)} / {log(4) [(x^9)/(x^2/y^2)]} = {log(4) (x^7y^2)} / {log(4) [(x^7y^2)]} = 1
其他解答:
Logarithmic2
發問:
Please write the step clearly,and state the property you have been used1. log base 25 9 × log base 27 5=log base 5 9/log base 5 25 ×log base 3 5/log base 3 27=???2.log base 8 ^3√49/ log base 32 73.log base 25 (2x)-log base 5 8=04.2log base 4... 顯示更多 Please write the step clearly,and state the property you have been used 1. log base 25 9 × log base 27 5 =log base 5 9/log base 5 25 ×log base 3 5/log base 3 27 =??? 2.log base 8 ^3√49/ log base 32 7 3.log base 25 (2x)-log base 5 8=0 4.2log base 4 (xy)+ log base 4 x^5/ 3 log base 4 x^4 - 4 log base 4√x/y
最佳解答:
(1) [log(25) 9][log(27) 5] = (log9/log25)(log5/log27) = [(2log3)/(2log5)][log5/3log3] = 1/3 (2) [log(8^3)√49] / [log(32) 7] = [log(√49)/log(8^3)] / (log7/log32) = [(log7)/(3log8)] * (5log2/log7) = [(log7)/(9log2)] * (5log2/log7) = 5/9 (3) [log(25) 2x] - [log(5) 8] = 0 log(2x) / log(25) = log8 / log5 log(2x) / (2log5) = log8 / log5 log(2x) = 2log8 log(2x) = log64 2x = 64 x = 32 (4) {[2log(4) xy] + [log(4) x^5]} / {[3log(4) x^3] - [4log(4)(√(x/y)]} = {[log(4) x^2y^2] + [log(4) x^5]} / {[log(4) x^9] - [log(4) (x^2/y^2)]} = {log(4) (x^2y^2)(x^5)} / {log(4) [(x^9)/(x^2/y^2)]} = {log(4) (x^7y^2)} / {log(4) [(x^7y^2)]} = 1
其他解答:
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