Math, asked by veniyeruva, 7 hours ago

determine b if log b to the base√8=10/3​

Answers

Answered by EvilRage
0

Answer:

32

Step-by-step :

Log b to base √8=10/3

Log b to base 8^1/2 = 10/3

We can write this as log b = 8^1/2×10/3

b = 8^5/3

b = 32

Answered by xSoyaibImtiazAhmedx
1

 \bold{ log_{ \sqrt{8} }(b )  =  \frac{10}{3} }

 \implies \:  { \sqrt{8} }^{ \frac{10}{3} }  = b

 \implies \:  { {8} }^{ \frac{10}{3}×\frac{1}{2} }  = b

 \implies \:  { {2³} }^{ × \frac{10}{3}×\frac{1}{2} }  = b

 \implies \:  { {2⁵} } = b

\implies \:   \boxed{\bold {  b = {32} }}

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