4a.4²x +3=1
Slotuion:
4²x + 3=1 : x= -⅛ (Decimal:x= -0.125)
Steps
4² x +3=1
4²=16
16x + 3=1
Subract 3 from borh sides
16x +3-3=1-3
Simplify
16x=-2
Divides both sides by 16
[tex] \frac{16 \times }{16} =
[tex] \frac{ - 2}{16} [/tex]
[/tex]
Simplitfy
[tex] \frac{16 \times }{16} : x[/tex]
Simplify
[tex] \frac{ - 2}{16}: -⅛ [/tex]
x = -⅛
therefore the answer is x= -⅛
4b.ex-1 -5 =5
x~=3.30258
explanation:
e^(x-1)-5=5
e^(x-1)=10
x-1=ln 10
x-1~=2.30258
x~=3.30258
[tex] \large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \: \: \: \: \: \: \: hope \: it \: help \: you \: \: \: \: \: \: \: \: }}}}}[/tex]
You have writing errors may be
[tex]\\ \rm\Rrightarrow 4x²+3=1[/tex]
[tex]\\ \rm\Rrightarrow 4x²=1-3[/tex]
[tex]\\ \rm\Rrightarrow 4x²=-2[/tex]
[tex]\\ \rm\Rrightarrow x^2=-1/2[/tex]
[tex]\\ \rm\Rrightarrow logx²=-log0.5[/tex]
[tex]\\ \rm\Rrightarrow 2logx=-log0.5[/tex]
[tex]\\ \rm\Rrightarrow logx=0.15[/tex]
[tex]\\ \rm\Rrightarrow x=10^{0.15}[/tex]
[tex]\\ \rm\Rrightarrow x=1.412[/tex]
#2
[tex]\\ \rm\Rrightarrow e^{x-1}-5=5[/tex]
[tex]\\ \rm\Rrightarrow e^{x-1}=10[/tex]
[tex]\\ \rm\Rrightarrow x-1=ln10[/tex]
[tex]\\ \rm\Rrightarrow x-1=2.3[/tex]
[tex]\\ \rm\Rrightarrow x=2.3+1[/tex]
[tex]\\ \rm\Rrightarrow x=3.3[/tex]