方程log3 (x-1)=log9 (x+5)

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/18 21:57:33

log9(x+5)=log(3)^2(x+5)=1/2log3(x+5)=log3√(x+5)
log3(x-1)=log3√(x+5)
x-1=√(x+5)
x^2-2x+1=x+5
x^2-3x-4=0
(x-4)(x+1)=0
x1=4,x2=-1
经检验得x2=-1不符合,舍去
x=4

填空题：方程log3(x-1)=log9(x+5)的解是____________ 由换底公式怎么得到log9(x+5)=log3[2（x+5)]=1/2log3(x+5) (log2^3 +log3^5) x ( log3^5 +log9^5 ) x lg 2 , 求x,y值.6log9^x+3log27^y=8log3^x+2log9^y=2 若log2^3×log3^4×log4^x=log9^3 ,求x log3 5-log3 15+1/2log9 27 的值对数方程与指数方程log3(x-1)+ log3(x+1)=1的解集, 解方程log3 (9^x+8) = x+log3 (3^x+1 + 6) Log2⒊log3⒋log4ⅹ=log9⒊求x的值求对数方程根log3为底(x^2-10)=1+log3为底x (log2(3)+log8(9))x(log3(4)+log9(8)+log3(2)) 解方程：(√x)^log3(-1)=3