你如何解决log _ 6(log _ 2(5.5x))= 1?
X = 128/11 = 11.bar(63)我们首先将双方提升为6的幂:cancel6 ^(cancel(log_6)(log_2(5.5x)))= 6 ^ 1 log_2(5.5x)= 6然后我们将两边都提升为2的幂:cancel2 ^(取消(log_2)(5.5x))= 2 ^ 6 5.5x = 64(cancel5.5x)/cancel5.5 = 64/5.5 x = 128/11 = 11的.bar(63)
你如何解决log 2 + log x = log 3?
X = 1.5 log 2 + Log x = Log 3应用对数log(xy)= log x + log y log(2.x)= log 3取两边的反对数2.x = 3 x = 1.5
你如何解决log(2 + x)-log(x-5)= log 2?
X = 12重写为单对数表达式注:log(a) - log(b)= log(a / b)log(2 + x) - log(x-5)= log2 log((2 + x) /(x-5))= log 2 10 ^ log((2 + x)/(x-5))= 10 ^(log2)(2 + x)/(x-5)= 2(2 + x) /(x-5)*颜色(红色)((x-5))= 2 *颜色(红色)((x-5))(2 + x)/取消(x-5)*取消((x- 5))= 2(x-5)2 + x“”“= 2x-10 +10-x = -x +10 ===============颜色(红色)(12) “”“= x)检查:log(12 + 2) - log(12-5)= log 2? log(14) - log(7)log(14/7)log 2 = log 2是,答案是x = 12