Seudónimo
Seudónimo
20-11-2021
Mathematics
contestada
PLEASE HELP WITH STEPS 25 POINTS!!!!
Respuesta :
mhanifa
mhanifa
20-11-2021
Answer:
[tex]1.75+0.25log_{10}a[/tex]
Step-by-step explanation:
Given:
[tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]
Simplify:
[tex]x =\sqrt[4]{10^210a} /0.1[/tex]
[tex]x =10\sqrt[4]{10^3a}[/tex]
[tex]x=10^{1+3/4}a^{1/4}[/tex]
[tex]x=10^{1.75}a^{0.25}[/tex]
log both sides:
[tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex]
[tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex]
[tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]
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