Question

Can someone solve this for X=?​

Answer 1

Step-by-step explanation:

We have,

$\tt{ log_{169}(26) = \{log_{169}(x) \} \{ log_{ {x}^{2} }(x) \}}$

$\sf{ \implies log_{169}(26) = \{log_{169}(x) \} \{ log_{ {x}^{2} }(x^{2} ) ^{ \frac{1}{2} } \}}$

$\sf{ \implies log_{169}(26) = \{log_{169}(x) \} \bigg\{ \frac{1}{2} \cdot log_{ {x}^{2} }(x^{2} ) \bigg \}}$

$\sf{ \implies2 log_{169}(26) = \{log_{169}(x) \} \{ log_{ {x}^{2} }(x^{2} ) \}}$

$\sf{ \implies2 log_{169}(26) = \{log_{169}(x) \} \{ 1 \}}$

$\sf{ \implies2 log_{169}(26) =log_{169}(x) }$

$\sf{ \implies \: log_{169}(26) ^{2} =log_{169}(x) }$

$\sf{ \implies \: x =(26)^{2} }$

$\sf{ \implies \: x =576 }$