Bantu ya 2 soal dibawah ini menggunakan cara yang lengkap jelas dan benar

4.
misalkan
[tex]u=^5\log{x}\rightarrow ^x\log{5}=\frac{1}{u}\\\\u+\frac{1}{u}=2,5\\u^2+1=2,5u\\2u^2+2=5u\\2u^2-5u+2=0\\(u-2)(2u-1)=0\\u_{1}=2\rightarrow x_{1}=5^{u_{1}}=25\\u_{2}=\frac{1}{2}\rightarrow x_{2}=5^{u_{2}}=5^{\frac{1}{2}}[/tex]

3.
[tex]^3\log{\left(^3\log{x}\right)}=^3\log{\left(3-^3\log{x}\right)}+^3\log{3} \\^3\log{\left(^3\log{x}\right)}=^3\log{\left(3(3-^3\log{x})\right)}\\3\log{x}=3(3-^3\log{x})\\^3\log{x}=9-3^3\log{x}\\^3\log{x}=^3\log{3^9}-^3\log{x^{3}} \\ ^3\log{x}=^3\log{\left(\frac{3^9}{x^3}\right)}\\x=\frac{3^9}{x^3}\\x^4=3^9\\x=3^{\frac{9}{4}}[/tex]

³Log (³Log x) = ³log (3-³log x)+³ log 3
= ³log 3(3-³log x)

³Log x = 9-3 ³ Log x
4.³Log x = 9
³Log x = 9/4
= ³Log 3^9/4
x = 3^ 9/4

Hp {3^ 9/4}

Jika ^5 Log x = a
^x Log 5 = ¹/a

a + 1/a = 5/2
------------------ x2a

2a²+2 = 5a
2a²-5a+2 = 0
(2a-1)(a-2) =0
2a= 1. a = 2
a = ½

^5 log x = ½
x = 5^½
= √5

^5 log x = 2
x = 5²
= 25

Hp { √5, 25}